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Finding the Third Proportional to 206,801 and 431,098

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Solution

The third proportional to 206,801 and 431,098 is: 898,668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,801 : 431,098 = 431,098 : x
  2. Step 2: Convert to fraction form
    206,801/431,098 = 431,098/x
  3. Step 3: Cross multiply
    206,801x = 431,098 × 431,098
  4. Step 4: Simplify right side
    206,801x = 185,845,485,604
  5. Step 5: Solve for x
    x = 185,845,485,604/206,801
  6. Step 6: Final answer
    x = 898,668.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.