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Finding the Third Proportional to 83,318 and 129,045

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Solution

The third proportional to 83,318 and 129,045 is: 199,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,318 : 129,045 = 129,045 : x
  2. Step 2: Convert to fraction form
    83,318/129,045 = 129,045/x
  3. Step 3: Cross multiply
    83,318x = 129,045 × 129,045
  4. Step 4: Simplify right side
    83,318x = 16,652,612,025
  5. Step 5: Solve for x
    x = 16,652,612,025/83,318
  6. Step 6: Final answer
    x = 199,868.12

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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.