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Finding the Third Proportional to 57,642 and 86,463

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Solution

The third proportional to 57,642 and 86,463 is: 129,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,642 : 86,463 = 86,463 : x
  2. Step 2: Convert to fraction form
    57,642/86,463 = 86,463/x
  3. Step 3: Cross multiply
    57,642x = 86,463 × 86,463
  4. Step 4: Simplify right side
    57,642x = 7,475,850,369
  5. Step 5: Solve for x
    x = 7,475,850,369/57,642
  6. Step 6: Final answer
    x = 129,694.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.