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Finding the Third Proportional to 129,909 and 206,868

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Solution

The third proportional to 129,909 and 206,868 is: 329,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,909 : 206,868 = 206,868 : x
  2. Step 2: Convert to fraction form
    129,909/206,868 = 206,868/x
  3. Step 3: Cross multiply
    129,909x = 206,868 × 206,868
  4. Step 4: Simplify right side
    129,909x = 42,794,369,424
  5. Step 5: Solve for x
    x = 42,794,369,424/129,909
  6. Step 6: Final answer
    x = 329,418.05

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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.