Question

9. Find the third proportional to: (i) 8 and 12 (ii) 12 and 18 (iii) 4.5 and 6​

Answer 1

Answer:

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

So you want to find a number c such that 12 : 18 = 18 : c. That number is 27.

Step-by-step explanation:

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Answer 2

Answer:

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

Step-by-step explanation:

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