Show that 48 60 75 are in continued proportion


Asked by admin @ in Math viewed by 261 People


Show that 48,60,75 are in continued proportion

Answered by admin @



Answer:

48,60,75 are in continued proportion.

Step-by-step explanation:

To show : 48,60,75 are in continued proportion ?

Solution :

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

a:b :: b:c

i.e. a:b = b:c

or \frac{a}{b}=\frac{b}{c}

Cross multiply,

ac=b^2

So, Condition of continued proportion is ac=b^2

Now, Take a=48, b=60 and c=75

48\times 75=(60)^2

3600=3600

Condition satisfied.

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


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