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Finding the Third Proportional to 83,898 and 129,617

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Solution

The third proportional to 83,898 and 129,617 is: 200,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,898 : 129,617 = 129,617 : x
  2. Step 2: Convert to fraction form
    83,898/129,617 = 129,617/x
  3. Step 3: Cross multiply
    83,898x = 129,617 × 129,617
  4. Step 4: Simplify right side
    83,898x = 16,800,566,689
  5. Step 5: Solve for x
    x = 16,800,566,689/83,898
  6. Step 6: Final answer
    x = 200,249.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.