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Finding the Third Proportional to 135,418 and 206,147

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Solution

The third proportional to 135,418 and 206,147 is: 313,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,418 : 206,147 = 206,147 : x
  2. Step 2: Convert to fraction form
    135,418/206,147 = 206,147/x
  3. Step 3: Cross multiply
    135,418x = 206,147 × 206,147
  4. Step 4: Simplify right side
    135,418x = 42,496,585,609
  5. Step 5: Solve for x
    x = 42,496,585,609/135,418
  6. Step 6: Final answer
    x = 313,817.85

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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.