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Finding the Third Proportional to 538.75 and 731.13

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Solution

The third proportional to 538.75 and 731.13 is: 992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.75 : 731.13 = 731.13 : x
  2. Step 2: Convert to fraction form
    538.75/731.13 = 731.13/x
  3. Step 3: Cross multiply
    538.75x = 731.13 × 731.13
  4. Step 4: Simplify right side
    538.75x = 534,543.77
  5. Step 5: Solve for x
    x = 534,543.77/538.75
  6. Step 6: Final answer
    x = 992.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.