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Finding the Third Proportional to 207,991 and 425,836

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Solution

The third proportional to 207,991 and 425,836 is: 871,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,991 : 425,836 = 425,836 : x
  2. Step 2: Convert to fraction form
    207,991/425,836 = 425,836/x
  3. Step 3: Cross multiply
    207,991x = 425,836 × 425,836
  4. Step 4: Simplify right side
    207,991x = 181,336,298,896
  5. Step 5: Solve for x
    x = 181,336,298,896/207,991
  6. Step 6: Final answer
    x = 871,846.85

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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.