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Finding the Third Proportional to 207,351 and 423,449

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Solution

The third proportional to 207,351 and 423,449 is: 864,760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,351 : 423,449 = 423,449 : x
  2. Step 2: Convert to fraction form
    207,351/423,449 = 423,449/x
  3. Step 3: Cross multiply
    207,351x = 423,449 × 423,449
  4. Step 4: Simplify right side
    207,351x = 179,309,055,601
  5. Step 5: Solve for x
    x = 179,309,055,601/207,351
  6. Step 6: Final answer
    x = 864,760.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.