Question

State whether true or false

The third proportional to 12 and 16 is 21

• A. True
• B. False

Answer 1

The correct option is B False

If a : b :: b : c, then we say that a, b, c are in continued proportion, and
c is the third proportional of a and b.
Here, $b^2=ac$ or $c=\frac{b^2}{a}$
So, for $12,16$, the third proportional is $c=\frac{b^2}{a}=\frac{{16}^2}{16}=\frac{16\times 16}{12}=\frac{64}{3}=21\frac{1}{3}$