To solve the equation:

\[
\frac{3}{x} = \frac{1}{5}
\]

Let's cross-multiply to get rid of the fractions:

\[
3 \times 5 = 1 \times x
\]

This simplifies to:

\[
15 = x
\]

So, the solution is:

\[
x = 15
\]

Would you like further details or have any questions?

Here are some related questions for further exploration:

1. How would you solve \(\frac{5}{x} = \frac{2}{3}\)?
2. If \(\frac{4}{x} = \frac{2}{7}\), what is the value of \(x\)?
3. What happens if both sides of the equation \(\frac{3}{x} = \frac{1}{5}\) are multiplied by \(x\) directly?
4. How can we verify that \(x = 15\) is correct in the original equation?
5. How does solving \(\frac{3}{x} = \frac{1}{5}\) differ from solving equations without fractions?

**Tip:** Cross-multiplying is a quick and effective way to solve equations involving fractions.

Learn how to solve the proportional equation 3/x = 1/5 using cross-multiplication. This step-by-step solution covers key concepts in algebra, including fractions and proportions. Ideal for students in Grades 6-8.

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