Finding the Third Proportional to 272 and 296
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Solution
The third proportional to 272 and 296 is: 322.12
Step by Step Solution
- Step 1: Write the proportion equation
272 : 296 = 296 : x - Step 2: Convert to fraction form
272/296 = 296/x - Step 3: Cross multiply
272x = 296 × 296 - Step 4: Simplify right side
272x = 87,616 - Step 5: Solve for x
x = 87,616/272 - Step 6: Final answer
x = 322.12
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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.