Question

If $4a^{2}b,a{b}^2,p$ are in continued proportion then find the value of p.

Answer 1

From given information, $4a^{2}b,a{b}^{2}andp$ are in continued proportion.

∴ $\frac{4a^{2}b}{a{b}^2}=\frac{a{b}^2}{p}$

$\Rightarrow$ p = $\frac{a{b}^2\times a{b}^2}{4a^{2}b}=\frac{b^3}{4}$.