proportion/proportionality
- proportion/proportionality
-
In algebra, equality between two ratios.
In the expression
a/
b =
c/
d,
a and
b are in the same proportion as
c and
d. For example, if one triangle is twice the size of a second, then each side of the first triangle is in the same proportion to the corresponding side of the second as 2 is to 1. A proportion is typically set up to solve a word problem in which one of its four quantities is unknown. It is solved by multiplying one numerator by the opposite denominator and equating the product to that of the other numerator and denominator. The term
proportionality describes any relationship that is always in the same ratio. The number of apples in a crop, for example, is proportional to the number of trees in the orchard, the ratio of proportionality being the average number of apples per tree.
* * *
Universalium.
2010.
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