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Finding the Third Proportional to 207,971 and 425,775

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Solution

The third proportional to 207,971 and 425,775 is: 871,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,971 : 425,775 = 425,775 : x
  2. Step 2: Convert to fraction form
    207,971/425,775 = 425,775/x
  3. Step 3: Cross multiply
    207,971x = 425,775 × 425,775
  4. Step 4: Simplify right side
    207,971x = 181,284,350,625
  5. Step 5: Solve for x
    x = 181,284,350,625/207,971
  6. Step 6: Final answer
    x = 871,680.91

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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.