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Finding the Third Proportional to 83,497 and 129,135

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Solution

The third proportional to 83,497 and 129,135 is: 199,717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,497 : 129,135 = 129,135 : x
  2. Step 2: Convert to fraction form
    83,497/129,135 = 129,135/x
  3. Step 3: Cross multiply
    83,497x = 129,135 × 129,135
  4. Step 4: Simplify right side
    83,497x = 16,675,848,225
  5. Step 5: Solve for x
    x = 16,675,848,225/83,497
  6. Step 6: Final answer
    x = 199,717.93

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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.