Question

7. a) Find the second proportional of 8, 9, 10 correct to two decimal places.
b) Find the mean proportional of 7 and 11 correct to two decimal places.
c) Find the fourth proportional of 8.4, 6.4, 3.6 correct to two decimal places.
8. Show that 48, 60 and 75 are in continued proportion.​

Answer 1

Step-by-step explanation:

8. As per continued proportion

b square= ac

b=60,a=48,c=75

(60)^2=48×75

3,600=3,600

[Therefore, LHS=RHS]

Therefore,60,48,60,75 are in continued proportion.

Answer 2

Given :  7 and 11

48, 60 and 75

To Find :  mean proportional of 7 and 11

Show that 48, 60 and 75 are in continued proportion.​

Solution:

Mean Proportion of 7 & 11

= √7 * 11

= √77

= 8.77

Continued Proportion

A : B : C  

A/B = B/C  

B² = AC  

48/60  = 4/5

60/75 =  4/5

4/5 = 4/5

48/60 = 60/75

=> 48 , 60 & 75 are in continued proportion

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