Question

Show that 48, 60, 75 are in continued proportion

Answer 1

Answer:

Step-by-step explanation:

If 48, 60, 75 are in continued proportion then

48/60=60/75

60^2 =48×75

3600=3600

LHS=RHS....

Thus, 48,60&75 are in continued proportion....

Answer 2

48, 60, 75 are in continued proportion.

Step-by-step explanation:

To find : Show that 48, 60, 75 are in continued proportion ?

Solution :

We know that,

When a,b,c are in proportion then $b^2=ac$

Now to show 48, 60, 75 are in continued proportion the property should satisfy.

Here, a=48, b=60 and c=75

Substitute,

$b^2=ac$

$(60)^2=(48)(75)$

$3600=3600$

It is satisfying the condition.

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