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Finding the Third Proportional to 387,748 and 523,756

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Solution

The third proportional to 387,748 and 523,756 is: 707,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,748 : 523,756 = 523,756 : x
  2. Step 2: Convert to fraction form
    387,748/523,756 = 523,756/x
  3. Step 3: Cross multiply
    387,748x = 523,756 × 523,756
  4. Step 4: Simplify right side
    387,748x = 274,320,347,536
  5. Step 5: Solve for x
    x = 274,320,347,536/387,748
  6. Step 6: Final answer
    x = 707,470.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.