Question

If a, b, and c are in continued proportion, then $a\times c=b^2$.

Continued proportion means a:b :: b:c

• A. True
• B. False

Answer 1

The correct option is A

True

Three numbers 'a', 'b' and 'c' are said to be continued proportion if a, b and c are in proportion. Thus, if a, b and c are in continued proportion, then a, b, b, c are in proportion i.e. a : b : : b : c.

So, $\frac{a}{b}=\frac{b}{c}$
Cross multiplying, we get
$a\times c=b^2$