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Finding the Third Proportional to 121,857 and 267,255

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Solution

The third proportional to 121,857 and 267,255 is: 586,139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,857 : 267,255 = 267,255 : x
  2. Step 2: Convert to fraction form
    121,857/267,255 = 267,255/x
  3. Step 3: Cross multiply
    121,857x = 267,255 × 267,255
  4. Step 4: Simplify right side
    121,857x = 71,425,235,025
  5. Step 5: Solve for x
    x = 71,425,235,025/121,857
  6. Step 6: Final answer
    x = 586,139.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.