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Finding the Third Proportional to 180,908 and 381,883

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Solution

The third proportional to 180,908 and 381,883 is: 806,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,908 : 381,883 = 381,883 : x
  2. Step 2: Convert to fraction form
    180,908/381,883 = 381,883/x
  3. Step 3: Cross multiply
    180,908x = 381,883 × 381,883
  4. Step 4: Simplify right side
    180,908x = 145,834,625,689
  5. Step 5: Solve for x
    x = 145,834,625,689/180,908
  6. Step 6: Final answer
    x = 806,125.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.