02 Ratio Proportion and Variation

5. Proportions

5.2. Third Proportional

If \(x\) is the third proportional of the numbers \(a\) and \(b\), then \(a : b :: b : x\) \( \Rightarrow \frac{a}{b} = \frac{b}{x}\) or \(x\) = \(\frac{{{b^2}}}{a}\)