Question

The numbers a,b,c are in continued proportion in order.If a=4 and c=a×a,find b.​

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.