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Finding the Third Proportional to 256,060 and 387,626

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Solution

The third proportional to 256,060 and 387,626 is: 586,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,060 : 387,626 = 387,626 : x
  2. Step 2: Convert to fraction form
    256,060/387,626 = 387,626/x
  3. Step 3: Cross multiply
    256,060x = 387,626 × 387,626
  4. Step 4: Simplify right side
    256,060x = 150,253,915,876
  5. Step 5: Solve for x
    x = 150,253,915,876/256,060
  6. Step 6: Final answer
    x = 586,791.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.