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Finding the Third Proportional to 381,384 and 517,965

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Solution

The third proportional to 381,384 and 517,965 is: 703,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,384 : 517,965 = 517,965 : x
  2. Step 2: Convert to fraction form
    381,384/517,965 = 517,965/x
  3. Step 3: Cross multiply
    381,384x = 517,965 × 517,965
  4. Step 4: Simplify right side
    381,384x = 268,287,741,225
  5. Step 5: Solve for x
    x = 268,287,741,225/381,384
  6. Step 6: Final answer
    x = 703,458.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.