Summary of Proportional Reasoning Concepts
Ratios are mathematical statements in the form , signifying that for every units of the first quantity, there are units of the second quantity. Both and are referred to as the terms of the ratio.
Two ratios, and , are considered proportional (written as ) if their corresponding terms change by the same multiplicative factor. This proportionality condition is mathematically expressed as the equality of the cross-products: .
When a total quantity, , needs to be divided into two parts according to the ratio , the size of each part is determined by the total number of ratio parts, . The quantity of the first part is given by , and the quantity of the second part is given by .
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