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Finding the Third Proportional to 381,385.13 and 576,991.69

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Solution

The third proportional to 381,385.13 and 576,991.69 is: 872,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,385.13 : 576,991.69 = 576,991.69 : x
  2. Step 2: Convert to fraction form
    381,385.13/576,991.69 = 576,991.69/x
  3. Step 3: Cross multiply
    381,385.13x = 576,991.69 × 576,991.69
  4. Step 4: Simplify right side
    381,385.13x = 332,919,407,444.10
  5. Step 5: Solve for x
    x = 332,919,407,444.10/381,385.13
  6. Step 6: Final answer
    x = 872,921.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.