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Finding the Third Proportional to 207,979 and 308,909

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Solution

The third proportional to 207,979 and 308,909 is: 458,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,979 : 308,909 = 308,909 : x
  2. Step 2: Convert to fraction form
    207,979/308,909 = 308,909/x
  3. Step 3: Cross multiply
    207,979x = 308,909 × 308,909
  4. Step 4: Simplify right side
    207,979x = 95,424,770,281
  5. Step 5: Solve for x
    x = 95,424,770,281/207,979
  6. Step 6: Final answer
    x = 458,819.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.