Finding the Third Proportional to 272 and 287
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Solution
The third proportional to 272 and 287 is: 302.83
Step by Step Solution
- Step 1: Write the proportion equation
272 : 287 = 287 : x - Step 2: Convert to fraction form
272/287 = 287/x - Step 3: Cross multiply
272x = 287 × 287 - Step 4: Simplify right side
272x = 82,369 - Step 5: Solve for x
x = 82,369/272 - Step 6: Final answer
x = 302.83
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These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.