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Finding the Third Proportional to 133,951 and 204,067

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Solution

The third proportional to 133,951 and 204,067 is: 310,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,951 : 204,067 = 204,067 : x
  2. Step 2: Convert to fraction form
    133,951/204,067 = 204,067/x
  3. Step 3: Cross multiply
    133,951x = 204,067 × 204,067
  4. Step 4: Simplify right side
    133,951x = 41,643,340,489
  5. Step 5: Solve for x
    x = 41,643,340,489/133,951
  6. Step 6: Final answer
    x = 310,884.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.