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Finding the Third Proportional to 121,860 and 267,262

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Solution

The third proportional to 121,860 and 267,262 is: 586,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,860 : 267,262 = 267,262 : x
  2. Step 2: Convert to fraction form
    121,860/267,262 = 267,262/x
  3. Step 3: Cross multiply
    121,860x = 267,262 × 267,262
  4. Step 4: Simplify right side
    121,860x = 71,428,976,644
  5. Step 5: Solve for x
    x = 71,428,976,644/121,860
  6. Step 6: Final answer
    x = 586,156.05

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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.