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Finding the Third Proportional to 80,218.13 and 123,311.25

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Solution

The third proportional to 80,218.13 and 123,311.25 is: 189,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,218.13 : 123,311.25 = 123,311.25 : x
  2. Step 2: Convert to fraction form
    80,218.13/123,311.25 = 123,311.25/x
  3. Step 3: Cross multiply
    80,218.13x = 123,311.25 × 123,311.25
  4. Step 4: Simplify right side
    80,218.13x = 15,205,664,376.56
  5. Step 5: Solve for x
    x = 15,205,664,376.56/80,218.13
  6. Step 6: Final answer
    x = 189,553.97

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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.