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Finding the Third Proportional to 207,978 and 425,814

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Solution

The third proportional to 207,978 and 425,814 is: 871,811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,978 : 425,814 = 425,814 : x
  2. Step 2: Convert to fraction form
    207,978/425,814 = 425,814/x
  3. Step 3: Cross multiply
    207,978x = 425,814 × 425,814
  4. Step 4: Simplify right side
    207,978x = 181,317,562,596
  5. Step 5: Solve for x
    x = 181,317,562,596/207,978
  6. Step 6: Final answer
    x = 871,811.26

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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.