Question

if a,b,c are proportion find a if b=15and c=40​

Answer 1

If a, b and c are in proportion, then

a,b,b,c are in proportion.

This means that a:b = b:c

b = 15 and c = 40 , a = ?

Now,

Product of the extremes = Product of the means

So,

a × c = b × b

a × 40 = 15 × 15

a × 40 = 225

a = 225/40

\textbf{a = 5.625}a = 5.625

Answer 2

Step-by-step explanation:

a = ?

b= 15

c= 40

Let a as x

As abc are in continued proportion so

a:b::b:c

x:15::15:40 ( Product of extreme = Product of means )

x= 15 × 15

----------- ( simplification )

40

x = 45

-----

8

x = 5.625

VERIFICATION

5.625 × 40 = 15 × 15 ( Product of extreme = Product of means )

225 = 225

HENCE A = 5.625

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