Finding the Third Proportional to 274 and 448
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Solution
The third proportional to 274 and 448 is: 732.50
Step by Step Solution
- Step 1: Write the proportion equation
274 : 448 = 448 : x - Step 2: Convert to fraction form
274/448 = 448/x - Step 3: Cross multiply
274x = 448 × 448 - Step 4: Simplify right side
274x = 200,704 - Step 5: Solve for x
x = 200,704/274 - Step 6: Final answer
x = 732.50
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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.