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Finding the Third Proportional to 509.38 and 691.88

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Solution

The third proportional to 509.38 and 691.88 is: 939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.38 : 691.88 = 691.88 : x
  2. Step 2: Convert to fraction form
    509.38/691.88 = 691.88/x
  3. Step 3: Cross multiply
    509.38x = 691.88 × 691.88
  4. Step 4: Simplify right side
    509.38x = 478,691.02
  5. Step 5: Solve for x
    x = 478,691.02/509.38
  6. Step 6: Final answer
    x = 939.76

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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.