The given analogy is in the form:

\[ \frac{6}{218} = \frac{3}{56} = \frac{5}{?} \]

To solve for \( ? \), let's first find the common ratio of the fractions. Start by calculating the ratio of the first pair:

\[
\frac{6}{218} = \frac{3}{56}
\]

Cross-multiply to find the relationship:

\[
6 \times 56 = 3 \times 218
\]

\[
336 = 654 \quad (\text{This is not true, indicating the ratios aren't equal.})
\]

However, we still want to find \( ? \). To keep things systematic, let's treat each ratio as an equation and solve for the missing value.

We will set up the equation for the third proportion:

\[
\frac{5}{?} = \frac{3}{56}
\]

Cross-multiply to solve for \( ? \):

\[
5 \times 56 = 3 \times ?
\]

\[
280 = 3 \times ?
\]

\[
? = \frac{280}{3}
\]

\[
? \approx 93.33
\]

So, \( ? \approx 93.33 \).

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you solve a proportion with different variables?
2. What is the cross-multiplication method in solving ratios?
3. Can you find a ratio that is equal to a given one?
4. What are some real-life applications of ratios and proportions?
5. How do you check if two ratios are equivalent?

**Tip:** When solving proportions, always ensure to check your cross-multiplications for accuracy.

Learn how to solve the proportion problem where 6/218 equals 3/56 equals 5/? with a step-by-step solution. Understand the method of cross-multiplication to find the missing value. Suitable for high school students.

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