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Finding the Third Proportional to 121,640 and 267,256

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Solution

The third proportional to 121,640 and 267,256 is: 587,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,640 : 267,256 = 267,256 : x
  2. Step 2: Convert to fraction form
    121,640/267,256 = 267,256/x
  3. Step 3: Cross multiply
    121,640x = 267,256 × 267,256
  4. Step 4: Simplify right side
    121,640x = 71,425,769,536
  5. Step 5: Solve for x
    x = 71,425,769,536/121,640
  6. Step 6: Final answer
    x = 587,189.82

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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.