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Finding the Third Proportional to 381,909.94 and 414,168.19

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Solution

The third proportional to 381,909.94 and 414,168.19 is: 449,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,909.94 : 414,168.19 = 414,168.19 : x
  2. Step 2: Convert to fraction form
    381,909.94/414,168.19 = 414,168.19/x
  3. Step 3: Cross multiply
    381,909.94x = 414,168.19 × 414,168.19
  4. Step 4: Simplify right side
    381,909.94x = 171,535,287,537.04
  5. Step 5: Solve for x
    x = 171,535,287,537.04/381,909.94
  6. Step 6: Final answer
    x = 449,151.15

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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.