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Finding the Third Proportional to 121,698 and 267,372

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Solution

The third proportional to 121,698 and 267,372 is: 587,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,698 : 267,372 = 267,372 : x
  2. Step 2: Convert to fraction form
    121,698/267,372 = 267,372/x
  3. Step 3: Cross multiply
    121,698x = 267,372 × 267,372
  4. Step 4: Simplify right side
    121,698x = 71,487,786,384
  5. Step 5: Solve for x
    x = 71,487,786,384/121,698
  6. Step 6: Final answer
    x = 587,419.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.