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Finding the Third Proportional to 381,382.88 and 517,961.25

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Solution

The third proportional to 381,382.88 and 517,961.25 is: 703,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,382.88 : 517,961.25 = 517,961.25 : x
  2. Step 2: Convert to fraction form
    381,382.88/517,961.25 = 517,961.25/x
  3. Step 3: Cross multiply
    381,382.88x = 517,961.25 × 517,961.25
  4. Step 4: Simplify right side
    381,382.88x = 268,283,856,501.56
  5. Step 5: Solve for x
    x = 268,283,856,501.56/381,382.88
  6. Step 6: Final answer
    x = 703,450.19

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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.