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Finding the Third Proportional to 121,642 and 267,260

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Solution

The third proportional to 121,642 and 267,260 is: 587,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,642 : 267,260 = 267,260 : x
  2. Step 2: Convert to fraction form
    121,642/267,260 = 267,260/x
  3. Step 3: Cross multiply
    121,642x = 267,260 × 267,260
  4. Step 4: Simplify right side
    121,642x = 71,427,907,600
  5. Step 5: Solve for x
    x = 71,427,907,600/121,642
  6. Step 6: Final answer
    x = 587,197.74

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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.