 FACTOID # 30: If Alaska were its own country, it would be the 26th largest in total area, slightly larger than Iran.

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Encyclopedia > Ratio

A ratio is a quantity that denotes the proportional[citation needed] amount or magnitude of one quantity relative to another. Ratio is the research institute of the Swedish enterprise. ... Image File history File links Emblem-important. ... Quantity is a kind of property which exists as magnitude or multitude. ... This article is about proportionality, the mathematical relation. ...

Ratios are unitless when they relate quantities of the same dimension. When the two quantities being compared are of different types, the units are the first quantity "per" unit of the second — for example, a speed or velocity can be expressed in "miles per hour". If the second unit is a measure of time, we call this type of ratio a rate. In dimensional analysis, a dimensionless number (or more precisely, a number with the dimensions of 1) is a pure number without any physical units. ... 2-dimensional renderings (ie. ... This article is about velocity in physics. ... Look up Rate in Wiktionary, the free dictionary. ...

Fractions and percentages are both specific applications of ratios. Fractions relate the part (the numerator) to the whole (the denominator) while percentages indicate parts per 100. For other meanings of the word fraction, see fraction (disambiguation) A cake with one quarter removed. ... The percent sign. ...

Note that in the previous example the proportion of apples in the basket is 2/5 ("two of five" fruits, "two out of five" fruits, "two fifths" of the fruits, or 40% of the fruits). Thus a proportion compares part to whole instead of part to part.

## Contents

Ratios are unitless when they relate quantities of the same dimension. When the two quantities being compared are of different types, the units are the first quantity "per" unit of the second — for example, a speed or velocity can be expressed in "miles per hour". If the second unit is a measure of time, we call this type of ratio a rate. In dimensional analysis, a dimensionless number (or more precisely, a number with the dimensions of 1) is a pure number without any physical units. ... 2-dimensional renderings (ie. ... This article is about velocity in physics. ...

Fractions and percentages are both specific applications of ratios. Fractions relate the part (the numerator) to the whole (the denominator) while percentages indicate parts per 100. For other meanings of the word fraction, see fraction (disambiguation) A cake with one quarter removed. ... The percent sign. ...

Note that in the previous example the proportion of apples in the basket is 2/5 ("two of five" fruits, "two out of five" fruits, "two fifths" of the fruits, or 40% of the fruits). Thus a proportion compares part to whole instead of part to part.

## More examples

• The ratio of heights of the Eiffel Tower (300 m) and the Great Pyramid of Giza (139 m) is 300:139, so one structure is more than twice the height of the other (more precisely, 2.16 times).
• The ratio of the mass of Jupiter to the mass of the Earth is approximately 318:1, meaning that Jupiter's mass in 318 times larger than the earth.
• If two axles are connected by gear wheels, the number of times one axle turns for each turn of the other is known as the gear ratio, one familiar example of which is the number of turns of the pedals of a bicycle compared with number of turns of the rear wheel.
• The ratio of hydrogen atoms to oxygen in water (H2O) is 2:1, which means for every one oxygen atom, there would be two hydrogen atoms as well.
• Most movie theater screens have an aspect ratio of 16:9, which means that the screen is 16/9 as wide as it is high.
• In probability, the ratio of the probability of something happening to the probability of it not happening is called the odds of the thing happening.
• In music, the interval of a perfect fifth is formed by two pitches, or frequencies, at a ratio of 3:2, with the higher note being 1.5 times the frequency of the lower. Look up ratio in Wiktionary, the free dictionary.

Wikipedia does not have an article with this exact name. ... Wiktionary (a portmanteau of wiki and dictionary) is a multilingual, Web-based project to create a free content dictionary, available in over 150 languages. ... Analogy is both the cognitive process of transferring information from a particular subject (the analogue or source) to another particular subject (the target), and a linguistic expression corresponding to such a process. ... Bold text The compression ratio is a single number that can be used to predict the performance of any engine (such as an internal-combustion engine or a Stirling Engine). ... This article lists conversion factors between a number of units of measurement. ... The aspect ratio of a two-dimensional shape is the ratio of its longer dimension to its shorter dimension. ... In finance, a financial ratio is a ratio of selected values on a enterprises financial statements. ... Not to be confused with Golden mean (philosophy), the felicitous middle between two extremes, Golden numbers, an indicator of years in astronomy and calendar studies, or the Golden Rule. ... Sex ratio by country for total population. ... In probability theory and statistics the odds in favor of an event or a proposition are the quantity p / (1 âˆ’ p), where p is the probability of the event or proposition. ... This article is about proportionality, the mathematical relation. ... In mathematics, a rational number is a number which can be expressed as a ratio of two integers. ... The level of measurement of a variable in mathematics and statistics is a classification that was proposed in order to describe the nature of information contained within numbers assigned to objects and, therefore, within the variable. ... Results from FactBites:

 The Sharpe Ratio (5543 words) The historic Sharpe Ratio is closely related to the t-statistic for measuring the statistical significance of the mean differential return. According to the ratio of expected return to standard deviation, X (5/10, or 0.50) is superior to Y (8/20, or 0.40). In the original applications of the ratio, where the benchmark is taken to be a one- period riskless asset, the differential return represents the payoff from a unit investment in the fund, financed by borrowing.
 Ratios (490 words) Generally, though, ratio problems will just be a matter of stating ratios or simplifying them. Depending on the text (or instructor), you may be supposed to keep the units on a ratio. Ratios are the comparing of one thing to another (miles to gallons, feet to yards, ducks to geese, et cetera).
More results at FactBites »

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