Find the third proportional to -4-8 and 6-4 is 88-15If true then enter 1 and if false then enter 0

If a : b :: b : c, then we say that a, b, c are in continued proportion, and nbsp;c is the third proportional of a and b. Here, b^2 = ac or c = b^2 ...

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Standard IX

Mathematics

Properties of Measures of Central Tendency

Find the thir...

Question

Find the third proportional to :

4.8 and 6.4 is $8 \frac{8}{15}$
If true then enter $1$ and if false then enter $0$

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Solution

If a : b :: b : c, then we say that a, b, c are in continued proportion, and c is the third proportional of a and b.
Here, $b^{2} = a c$ or $c = \frac{b^{2}}{a}$
So, for $4.8, 6.4$ , the third proportional is $c = \frac{b^{2}}{a} = \frac{6.4 \times 6.4}{4.8} = 8 \frac{8}{15}$

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Find the third proportional to :4.8 and 6.4 is 8815If true then enter 1 and if false then enter 0

If a : b :: b : c, then we say that a, b, c are in continued proportion, and c is the third proportional of a and b. Here, b2=ac or c=b2a So, for 4.8,6.4, the third proportional is c=b2a=6.4×6.44.8=8815

Find the third proportional to :

4.8 and 6.4 is $8 \frac{8}{15}$
If true then enter $1$ and if false then enter $0$

If a : b :: b : c, then we say that a, b, c are in continued proportion, and c is the third proportional of a and b.
Here, $b^{2} = a c$ or $c = \frac{b^{2}}{a}$
So, for $4.8, 6.4$ , the third proportional is $c = \frac{b^{2}}{a} = \frac{6.4 \times 6.4}{4.8} = 8 \frac{8}{15}$