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Finding the Third Proportional to 267,930 and 405,351

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Solution

The third proportional to 267,930 and 405,351 is: 613,255.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,930 : 405,351 = 405,351 : x
  2. Step 2: Convert to fraction form
    267,930/405,351 = 405,351/x
  3. Step 3: Cross multiply
    267,930x = 405,351 × 405,351
  4. Step 4: Simplify right side
    267,930x = 164,309,433,201
  5. Step 5: Solve for x
    x = 164,309,433,201/267,930
  6. Step 6: Final answer
    x = 613,255.08

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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.