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Finding the Third Proportional to 129,602 and 206,067

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Solution

The third proportional to 129,602 and 206,067 is: 327,646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,602 : 206,067 = 206,067 : x
  2. Step 2: Convert to fraction form
    129,602/206,067 = 206,067/x
  3. Step 3: Cross multiply
    129,602x = 206,067 × 206,067
  4. Step 4: Simplify right side
    129,602x = 42,463,608,489
  5. Step 5: Solve for x
    x = 42,463,608,489/129,602
  6. Step 6: Final answer
    x = 327,646.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.