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Finding the Third Proportional to 207,972 and 425,801

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Solution

The third proportional to 207,972 and 425,801 is: 871,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,972 : 425,801 = 425,801 : x
  2. Step 2: Convert to fraction form
    207,972/425,801 = 425,801/x
  3. Step 3: Cross multiply
    207,972x = 425,801 × 425,801
  4. Step 4: Simplify right side
    207,972x = 181,306,491,601
  5. Step 5: Solve for x
    x = 181,306,491,601/207,972
  6. Step 6: Final answer
    x = 871,783.18

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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.