Question

If x, y and z are in continued proportion then $z:x::z^2:y^2$.

• A. True
• B. False

Answer 1

The correct option is A

True

If x, y, and z are in continued proportion then $y^2=xz$
Multiply both sides of the equation by $z$
equation becomes, $z{y}^2=x{z}^2$
$⟹$ $\left(z/x\right)=\left(z^2/y^2\right)$
$⟹$ $z:x::z^2:y^2$