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Finding the Third Proportional to 322,118 and 425,909

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Solution

The third proportional to 322,118 and 425,909 is: 563,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,118 : 425,909 = 425,909 : x
  2. Step 2: Convert to fraction form
    322,118/425,909 = 425,909/x
  3. Step 3: Cross multiply
    322,118x = 425,909 × 425,909
  4. Step 4: Simplify right side
    322,118x = 181,398,476,281
  5. Step 5: Solve for x
    x = 181,398,476,281/322,118
  6. Step 6: Final answer
    x = 563,142.94

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.