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Finding the Third Proportional to 121,695 and 267,366

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Solution

The third proportional to 121,695 and 267,366 is: 587,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,695 : 267,366 = 267,366 : x
  2. Step 2: Convert to fraction form
    121,695/267,366 = 267,366/x
  3. Step 3: Cross multiply
    121,695x = 267,366 × 267,366
  4. Step 4: Simplify right side
    121,695x = 71,484,577,956
  5. Step 5: Solve for x
    x = 71,484,577,956/121,695
  6. Step 6: Final answer
    x = 587,407.68

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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.