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Finding the Third Proportional to 180,904 and 381,876

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Solution

The third proportional to 180,904 and 381,876 is: 806,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,904 : 381,876 = 381,876 : x
  2. Step 2: Convert to fraction form
    180,904/381,876 = 381,876/x
  3. Step 3: Cross multiply
    180,904x = 381,876 × 381,876
  4. Step 4: Simplify right side
    180,904x = 145,829,279,376
  5. Step 5: Solve for x
    x = 145,829,279,376/180,904
  6. Step 6: Final answer
    x = 806,114.18

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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.