# Proportion

**See:** Proportionality Equation.

## References

### 2009

- (WordNet, 2009) ⇒ http://wordnetweb.princeton.edu/perl/webwn?s=proportion
- S: (n) proportion (the quotient obtained when the magnitude of a part is divided by the magnitude of the whole)
- S: (n) proportion, dimension (magnitude or extent) "a building of vast proportions"
- S: (n) symmetry, proportion (balance among the parts of something)
- S: (n) proportion, ratio (the relation between things (or parts of things) with respect to their comparative quantity, magnitude, or degree) "an inordinate proportion of the book is given over to quotations"; "a dry martini has a large proportion of gin"
- S: (n) proportion, proportionality, balance (harmonious arrangement or relation of parts or elements within a whole (as in a design)) "in all perfectly beautiful objects there is found the opposition of one part to another and a reciprocal balance"- John Ruskin
- S: (v) proportion (give pleasant proportions to) "harmonize a building with those surrounding it"
- S: (v) proportion (adjust in size relative to other things)

### 2007

- http://www.isi.edu/~hobbs/bgt-arithmetic.text
- 3. Measures and Proportions. Sets of rational numbers, and hence sets of nonnegative integers, are very important examples of scales. We will focus on sets in which 0 is the smallest element. If e is the "lt" relation between x and y and s1 is a set of numbers containing 0 but no smaller number, then there is a nonnegative numeric scale s with s1 as its set and e as its partial ordering. … Suppose we have two points x and y on a scale s1 which has a measure. Then the proportion of x to y is the fraction whose numerator and denominator are the numbers the measure maps x and y into, respectively. … In more conventional notation, if m is a measure function mapping s1 into a nonnegative numeric scale, then the proportion f of x to y is given by "f = m(x)/m(y)". … Thus, we can talk about the proportion of one point on a numeric scale to another, via the identity measure.

### 2003

- http://mathforum.org/library/drmath/view/63884.html
- Definition of Ratio
- This is as much an English language question as a math question, and that makes it very confusing. Words like this are not used as consistently as you might expect, even among math teachers or mathematicians.
- Merriam-Webster (m-w.com) says
- ratio 1
- a : the indicated quotient of two mathematical expressions
- b : the relationship in quantity, amount, or size between two or more things : PROPORTION

- proportion
- 3 : the relation of one part to another or to the whole with respect to magnitude, quantity, or degree : RATIO
- 4 : SIZE, DIMENSION
- 5 : a statement of equality between two ratios in which the first of the four terms divided by the second equals the third divided by the fourth (as in 4/2=10/5)

### 1997

- Ratio and Proportion. http://www.mathleague.com/help/ratio/ratio.htm
- A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal. 3/4 = 6/8 is an example of a proportion. When one of the four numbers in a proportion is unknown, cross products may be used to find the unknown number. This is called solving the proportion. Question marks or letters are frequently used in place of the unknown number.