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Finding the Third Proportional to 269,424.38 and 449,021.63

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Solution

The third proportional to 269,424.38 and 449,021.63 is: 748,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,424.38 : 449,021.63 = 449,021.63 : x
  2. Step 2: Convert to fraction form
    269,424.38/449,021.63 = 449,021.63/x
  3. Step 3: Cross multiply
    269,424.38x = 449,021.63 × 449,021.63
  4. Step 4: Simplify right side
    269,424.38x = 201,620,419,717.64
  5. Step 5: Solve for x
    x = 201,620,419,717.64/269,424.38
  6. Step 6: Final answer
    x = 748,337.71

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.