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Finding the Third Proportional to 204,876 and 419,895

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Solution

The third proportional to 204,876 and 419,895 is: 860,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,876 : 419,895 = 419,895 : x
  2. Step 2: Convert to fraction form
    204,876/419,895 = 419,895/x
  3. Step 3: Cross multiply
    204,876x = 419,895 × 419,895
  4. Step 4: Simplify right side
    204,876x = 176,311,811,025
  5. Step 5: Solve for x
    x = 176,311,811,025/204,876
  6. Step 6: Final answer
    x = 860,578.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.