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Finding the Third Proportional to 206,170 and 290,327

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Solution

The third proportional to 206,170 and 290,327 is: 408,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,170 : 290,327 = 290,327 : x
  2. Step 2: Convert to fraction form
    206,170/290,327 = 290,327/x
  3. Step 3: Cross multiply
    206,170x = 290,327 × 290,327
  4. Step 4: Simplify right side
    206,170x = 84,289,766,929
  5. Step 5: Solve for x
    x = 84,289,766,929/206,170
  6. Step 6: Final answer
    x = 408,836.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.