Question

3. Ifa:b::c:d, then d is called the
proportional to a, b and c.​

Answer 1

Answer:

The three quantities a,b,c are said to be in continued proportion if a:b::b:c

⇒

b

a

=

c

b

⇒ac=b

2

⇒b

2

=ac

Here, b is called the mean proportional of a and c, as square of middle term is equal to the product of 1st term and 3rd term.

Also, if a:b::b:c, then c is called the third proportional of a,b.

Then (A) and (B) are true options.