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Finding the Third Proportional to 81,712 and 128,398

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Solution

The third proportional to 81,712 and 128,398 is: 201,757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,712 : 128,398 = 128,398 : x
  2. Step 2: Convert to fraction form
    81,712/128,398 = 128,398/x
  3. Step 3: Cross multiply
    81,712x = 128,398 × 128,398
  4. Step 4: Simplify right side
    81,712x = 16,486,046,404
  5. Step 5: Solve for x
    x = 16,486,046,404/81,712
  6. Step 6: Final answer
    x = 201,757.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.