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Finding the Third Proportional to 207,987 and 425,831

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Solution

The third proportional to 207,987 and 425,831 is: 871,843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,987 : 425,831 = 425,831 : x
  2. Step 2: Convert to fraction form
    207,987/425,831 = 425,831/x
  3. Step 3: Cross multiply
    207,987x = 425,831 × 425,831
  4. Step 4: Simplify right side
    207,987x = 181,332,040,561
  5. Step 5: Solve for x
    x = 181,332,040,561/207,987
  6. Step 6: Final answer
    x = 871,843.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.