Question

If $x^2$, 4 and 9 are in continued proportion, find x.

Answer 1

If $x^2$, 4 and 9 are in continued proportion,
Then
$x^2:4::4:9$
$\frac{x^2}{4}=\frac{4}{9}$
$x^2=\frac{16}{9}$
$x=\frac{4}{3}$