Question

Solve for m in the proportion.

756
m
=
297
77


m =

Answer 1

To solve for \( m \) in the proportion

\[
\frac{756}{m} = \frac{297}{77},
\]

we can use cross-multiplication. This entails multiplying the numerator of one fraction by the denominator of the other fraction:

\[
756 \cdot 77 = 297 \cdot m.
\]

Calculating \( 756 \times 77 \):

\[
756 \times 77 = 58212.
\]

So we have:

\[
58212 = 297m.
\]

Now, to isolate \( m \), divide both sides by 297:

\[
m = \frac{58212}{297}.
\]

Calculating this gives:

\[
m = 196.
\]

Thus, the solution is:

\[
\boxed{196}.
\]