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Finding the Third Proportional to 283,845 and 425,811

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Solution

The third proportional to 283,845 and 425,811 is: 638,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,845 : 425,811 = 425,811 : x
  2. Step 2: Convert to fraction form
    283,845/425,811 = 425,811/x
  3. Step 3: Cross multiply
    283,845x = 425,811 × 425,811
  4. Step 4: Simplify right side
    283,845x = 181,315,007,721
  5. Step 5: Solve for x
    x = 181,315,007,721/283,845
  6. Step 6: Final answer
    x = 638,781.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.