First steps into Proportions: Comparing ratios

Autor:: Omar G. Monteagudo, Adrián Martín, Tim Brzezinski

Definition: Given 4 integer numbers,

and

, where

, and

are nonzero, then ratios

and

are said to be a proportion if and only if

. Notation: Under the previous conditions, whenever ratios a:b and c:d are proportional is often written as

, or
.

Remark: Notice how being two ratios being a proportion is just another way to say that the corresponding fractions are equivalent:

if and only if

.

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