Find the value of x in the following proportions : x : 50 :: 3 : 2

योग

x : 50 : : 3 : 2
⇒ × x 2 = 50 x 3
x = `(50 xx 3)/(2)`
= 75.

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अध्याय 6: Ratio and Proportion - Exercise 7.2

अध्याय 6 Ratio and Proportion
Exercise 7.2 | Q 1.4

If y is the mean proportional between x and z; show that xy + yz is the mean proportional between x² + y² and y² + z².

If three quantities are in continued proportion; show that the ratio of the first to the third is the duplicate ratio of the first to the second.

Find two numbers such that the mean proportional between them is 12 and the third proportional to them is 96.

If three quantities are in continued proportion, show that the ratio of the first to the third is the duplicate ratio of the first to the second.

Find the third proportional to `5(1)/(4) and 7.`

Determine if the following numbers are in proportion:

32, 48, 70, 210

Find the value of x in each of the following proportion:

27 : x : : 63 : 84

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Find whether 12, 24, 18, 36 are in order that can be expressed as two ratios that are in proportion

A gets double of what B gets and B gets double of what C gets. Find A : B and B : C and verify whether the result is in proportion or not