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Finding the Third Proportional to 81,874 and 124,035

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Solution

The third proportional to 81,874 and 124,035 is: 187,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874 : 124,035 = 124,035 : x
  2. Step 2: Convert to fraction form
    81,874/124,035 = 124,035/x
  3. Step 3: Cross multiply
    81,874x = 124,035 × 124,035
  4. Step 4: Simplify right side
    81,874x = 15,384,681,225
  5. Step 5: Solve for x
    x = 15,384,681,225/81,874
  6. Step 6: Final answer
    x = 187,906.80

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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.