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Finding the Third Proportional to 387,073.13 and 534,864.38

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Solution

The third proportional to 387,073.13 and 534,864.38 is: 739,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,073.13 : 534,864.38 = 534,864.38 : x
  2. Step 2: Convert to fraction form
    387,073.13/534,864.38 = 534,864.38/x
  3. Step 3: Cross multiply
    387,073.13x = 534,864.38 × 534,864.38
  4. Step 4: Simplify right side
    387,073.13x = 286,079,899,644.14
  5. Step 5: Solve for x
    x = 286,079,899,644.14/387,073.13
  6. Step 6: Final answer
    x = 739,084.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.