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Finding the Third Proportional to 135,608 and 206,188

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Solution

The third proportional to 135,608 and 206,188 is: 313,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,608 : 206,188 = 206,188 : x
  2. Step 2: Convert to fraction form
    135,608/206,188 = 206,188/x
  3. Step 3: Cross multiply
    135,608x = 206,188 × 206,188
  4. Step 4: Simplify right side
    135,608x = 42,513,491,344
  5. Step 5: Solve for x
    x = 42,513,491,344/135,608
  6. Step 6: Final answer
    x = 313,502.83

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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.