Question

The quantities a, 6, 12, and b are in continued proportion. Find the values of a and b.

Answer 1

When the quantities are in continued proportion, then,
$\frac{a}{6}=\frac{6}{12}=\frac{12}{b}$

From this, we have $\frac{a}{6}=\frac{6}{12}$
a = $\frac{36}{12}$ = 3.

We also have $\frac{6}{12}=\frac{12}{b}$
b = $\frac{12\times 12}{6}$
b = 24

Hence the values of a and b are 3 and 24 respectively.