Finding the Third Proportional to 272 and 292
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Solution
The third proportional to 272 and 292 is: 313.47
Step by Step Solution
- Step 1: Write the proportion equation
272 : 292 = 292 : x - Step 2: Convert to fraction form
272/292 = 292/x - Step 3: Cross multiply
272x = 292 × 292 - Step 4: Simplify right side
272x = 85,264 - Step 5: Solve for x
x = 85,264/272 - Step 6: Final answer
x = 313.47
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.