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Finding the Third Proportional to 261,965 and 400,469

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Solution

The third proportional to 261,965 and 400,469 is: 612,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,965 : 400,469 = 400,469 : x
  2. Step 2: Convert to fraction form
    261,965/400,469 = 400,469/x
  3. Step 3: Cross multiply
    261,965x = 400,469 × 400,469
  4. Step 4: Simplify right side
    261,965x = 160,375,419,961
  5. Step 5: Solve for x
    x = 160,375,419,961/261,965
  6. Step 6: Final answer
    x = 612,201.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.