Question

if a,b,c are in proportion then​

Answer 1

Answer:

if a,b,c are in proportion then they are in ratio

a:b:c

Answer 2

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.

Step-by-step explanation:

or

If a,b,c are in continued proportion, then b

2

=ac

=>

b

2

+bc+c

2

a

2

+ab+b

2

=

ac+bc+c

2

a

2

+ab+ac

=

c(a+b+c)

a(a+b+c)

=

c

a

both are right