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Finding the Third Proportional to 203,821 and 422,042

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Solution

The third proportional to 203,821 and 422,042 is: 873,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,821 : 422,042 = 422,042 : x
  2. Step 2: Convert to fraction form
    203,821/422,042 = 422,042/x
  3. Step 3: Cross multiply
    203,821x = 422,042 × 422,042
  4. Step 4: Simplify right side
    203,821x = 178,119,449,764
  5. Step 5: Solve for x
    x = 178,119,449,764/203,821
  6. Step 6: Final answer
    x = 873,901.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.