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Finding the Third Proportional to 381,910.50 and 414,168.75

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Solution

The third proportional to 381,910.50 and 414,168.75 is: 449,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,910.50 : 414,168.75 = 414,168.75 : x
  2. Step 2: Convert to fraction form
    381,910.50/414,168.75 = 414,168.75/x
  3. Step 3: Cross multiply
    381,910.50x = 414,168.75 × 414,168.75
  4. Step 4: Simplify right side
    381,910.50x = 171,535,753,476.56
  5. Step 5: Solve for x
    x = 171,535,753,476.56/381,910.50
  6. Step 6: Final answer
    x = 449,151.71

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.