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Finding the Third Proportional to 259,481 and 331,563

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Solution

The third proportional to 259,481 and 331,563 is: 423,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,481 : 331,563 = 331,563 : x
  2. Step 2: Convert to fraction form
    259,481/331,563 = 331,563/x
  3. Step 3: Cross multiply
    259,481x = 331,563 × 331,563
  4. Step 4: Simplify right side
    259,481x = 109,934,022,969
  5. Step 5: Solve for x
    x = 109,934,022,969/259,481
  6. Step 6: Final answer
    x = 423,668.87

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.