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Which numbers are the means of the proportion shown below?

[tex]\frac{2}{3}=\frac{20}{30}[/tex]

A. 3 and 20
B. 2 and 20
C. 2 and 30
D. 3 and 30

Sagot :

GinnyAnswer
To identify the means of the proportion [tex]\( \frac{2}{3} = \frac{20}{30} \)[/tex], let's first recall that in any proportion of the form [tex]\( \frac{a}{b} = \frac{c}{d} \)[/tex], the means are the two inner terms, [tex]\( b \)[/tex] and [tex]\( c \)[/tex].

Given the proportion [tex]\( \frac{2}{3} = \frac{20}{30} \)[/tex]:
- The first term (numerator of the first fraction) is [tex]\( 2 \)[/tex].
- The second term (denominator of the first fraction) is [tex]\( 3 \)[/tex].
- The third term (numerator of the second fraction) is [tex]\( 20 \)[/tex].
- The fourth term (denominator of the second fraction) is [tex]\( 30 \)[/tex].

The means are the second and third numbers in the proportion, [tex]\(3\)[/tex] and [tex]\(20\)[/tex].

Thus, the numbers that are the means of the proportion [tex]\( \frac{2}{3} = \frac{20}{30} \)[/tex] are:
- 3
- 20

This matches option A.

Therefore, the correct answer is:
A. 3 and 20
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