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Finding the Third Proportional to 80,979 and 129,373.50

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Solution

The third proportional to 80,979 and 129,373.50 is: 206,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,979 : 129,373.50 = 129,373.50 : x
  2. Step 2: Convert to fraction form
    80,979/129,373.50 = 129,373.50/x
  3. Step 3: Cross multiply
    80,979x = 129,373.50 × 129,373.50
  4. Step 4: Simplify right side
    80,979x = 16,737,502,502.25
  5. Step 5: Solve for x
    x = 16,737,502,502.25/80,979
  6. Step 6: Final answer
    x = 206,689.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.