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Finding the Third Proportional to 135,443 and 206,603

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Solution

The third proportional to 135,443 and 206,603 is: 315,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,443 : 206,603 = 206,603 : x
  2. Step 2: Convert to fraction form
    135,443/206,603 = 206,603/x
  3. Step 3: Cross multiply
    135,443x = 206,603 × 206,603
  4. Step 4: Simplify right side
    135,443x = 42,684,799,609
  5. Step 5: Solve for x
    x = 42,684,799,609/135,443
  6. Step 6: Final answer
    x = 315,149.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.