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Finding the Third Proportional to 267,890 and 405,279

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Solution

The third proportional to 267,890 and 405,279 is: 613,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,890 : 405,279 = 405,279 : x
  2. Step 2: Convert to fraction form
    267,890/405,279 = 405,279/x
  3. Step 3: Cross multiply
    267,890x = 405,279 × 405,279
  4. Step 4: Simplify right side
    267,890x = 164,251,067,841
  5. Step 5: Solve for x
    x = 164,251,067,841/267,890
  6. Step 6: Final answer
    x = 613,128.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.