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Finding the Third Proportional to 203,934 and 420,979

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Solution

The third proportional to 203,934 and 420,979 is: 869,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,934 : 420,979 = 420,979 : x
  2. Step 2: Convert to fraction form
    203,934/420,979 = 420,979/x
  3. Step 3: Cross multiply
    203,934x = 420,979 × 420,979
  4. Step 4: Simplify right side
    203,934x = 177,223,318,441
  5. Step 5: Solve for x
    x = 177,223,318,441/203,934
  6. Step 6: Final answer
    x = 869,022.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.