If a- b- c are in proportion- thena a2-b cb b2-a cc c2-a bd none of these

(b) b2 = ac Given: a, b, c are in proportion, such that we have: nbsp; a:b::b:c Now, we know: nbsp; Product of means = Product of extremes nbsp; nbs ...

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Standard VII

Mathematics

Ratios

If a, b, c ar...

Question

If a, b, c are in proportion, then
(a) a² = bc
(b) b² = ac
(c) c² = ab
(d) none of these

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Solution

(b) b² = ac
Given:
a, b, c are in proportion, such that we have:
a:b::b:c
Now, we know:
Product of means = Product of extremes
b × b = a × c
b² = ac

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If a, b, c are in proportion, then (a) a2 = bc (b) b2 = ac (c) c2 = ab (d) none of these

(b) b2 = ac Given: a, b, c are in proportion, such that we have: a:b::b:c Now, we know: Product of means = Product of extremes b ​× b = a ​× c b2 = ac

If a, b, c are in proportion, then
(a) a² = bc
(b) b² = ac
(c) c² = ab
(d) none of these

(b) b² = ac
Given:
a, b, c are in proportion, such that we have:
a:b::b:c
Now, we know:
Product of means = Product of extremes
b × b = a × c
b² = ac