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Finding the Third Proportional to 521.38 and 724.19

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Solution

The third proportional to 521.38 and 724.19 is: 1,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.38 : 724.19 = 724.19 : x
  2. Step 2: Convert to fraction form
    521.38/724.19 = 724.19/x
  3. Step 3: Cross multiply
    521.38x = 724.19 × 724.19
  4. Step 4: Simplify right side
    521.38x = 524,447.54
  5. Step 5: Solve for x
    x = 524,447.54/521.38
  6. Step 6: Final answer
    x = 1,005.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.