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Finding the Third Proportional to 82,508 and 127,974

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Solution

The third proportional to 82,508 and 127,974 is: 198,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,508 : 127,974 = 127,974 : x
  2. Step 2: Convert to fraction form
    82,508/127,974 = 127,974/x
  3. Step 3: Cross multiply
    82,508x = 127,974 × 127,974
  4. Step 4: Simplify right side
    82,508x = 16,377,344,676
  5. Step 5: Solve for x
    x = 16,377,344,676/82,508
  6. Step 6: Final answer
    x = 198,494.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.