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Finding the Third Proportional to 129,115.13 and 181,500.75

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Solution

The third proportional to 129,115.13 and 181,500.75 is: 255,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,115.13 : 181,500.75 = 181,500.75 : x
  2. Step 2: Convert to fraction form
    129,115.13/181,500.75 = 181,500.75/x
  3. Step 3: Cross multiply
    129,115.13x = 181,500.75 × 181,500.75
  4. Step 4: Simplify right side
    129,115.13x = 32,942,522,250.56
  5. Step 5: Solve for x
    x = 32,942,522,250.56/129,115.13
  6. Step 6: Final answer
    x = 255,140.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.