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Finding the Third Proportional to 203,921 and 442,874

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Solution

The third proportional to 203,921 and 442,874 is: 961,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,921 : 442,874 = 442,874 : x
  2. Step 2: Convert to fraction form
    203,921/442,874 = 442,874/x
  3. Step 3: Cross multiply
    203,921x = 442,874 × 442,874
  4. Step 4: Simplify right side
    203,921x = 196,137,379,876
  5. Step 5: Solve for x
    x = 196,137,379,876/203,921
  6. Step 6: Final answer
    x = 961,830.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.