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Finding the Third Proportional to 83,493 and 129,127

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Solution

The third proportional to 83,493 and 129,127 is: 199,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,493 : 129,127 = 129,127 : x
  2. Step 2: Convert to fraction form
    83,493/129,127 = 129,127/x
  3. Step 3: Cross multiply
    83,493x = 129,127 × 129,127
  4. Step 4: Simplify right side
    83,493x = 16,673,782,129
  5. Step 5: Solve for x
    x = 16,673,782,129/83,493
  6. Step 6: Final answer
    x = 199,702.76

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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.