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Finding the Third Proportional to 135,971 and 206,598

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Solution

The third proportional to 135,971 and 206,598 is: 313,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,971 : 206,598 = 206,598 : x
  2. Step 2: Convert to fraction form
    135,971/206,598 = 206,598/x
  3. Step 3: Cross multiply
    135,971x = 206,598 × 206,598
  4. Step 4: Simplify right side
    135,971x = 42,682,733,604
  5. Step 5: Solve for x
    x = 42,682,733,604/135,971
  6. Step 6: Final answer
    x = 313,910.57

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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.