Ratio and Proportion — Key Methods

Key Methods

Fundamental Property of Proportions

Ancient Greek Mathematics (Euclid)

This property, often stated as 'product of extremes equals product of means' (ad = bc for a:b :: c:d), is the cornerstone of solving proportion-based problems. It allows for the…

Principle of Componendo and Dividendo

Classical Algebra

These are powerful algebraic manipulations derived from the fundamental property of proportions. If a/b = c/d, then Componendo states (a+b)/b = (c+d)/d, and Dividendo states…

Unitary Method

Ancient Arithmetic

The unitary method is a technique for solving problems by first finding the value of a single unit, and then multiplying that value to find the value of the required number of…