Question

find the third proportion (a) 4.5,6 (b) 36,18​

Answer 1

Answer:

(a)

The third proportion of two numbers a and b is defined to be that number c such that a:b::b:c

Let the third proportion be x

Therefore third proportion of 4.5,6 will be given as

4.5:6::6:x

⇒

6

4.5

=

x

6

Cross multiply

⇒4.5×x=6×6

⇒4.5×x=36

⇒x=

4.5

36

On calculating

⇒x=8

(b)

Let the required third proportional be x

∴36,18,x are in continued proportion.

⇒36:18=18:x

⇒

18

36

=

x

18

⇒x=

36

18×18

=9

∴ Required proportional=9

Step-by-step explanation:

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