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Finding the Third Proportional to 387,687 and 566,493

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Solution

The third proportional to 387,687 and 566,493 is: 827,766.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,687 : 566,493 = 566,493 : x
  2. Step 2: Convert to fraction form
    387,687/566,493 = 566,493/x
  3. Step 3: Cross multiply
    387,687x = 566,493 × 566,493
  4. Step 4: Simplify right side
    387,687x = 320,914,319,049
  5. Step 5: Solve for x
    x = 320,914,319,049/387,687
  6. Step 6: Final answer
    x = 827,766.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.