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Finding the Third Proportional to 121,697 and 267,370

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Solution

The third proportional to 121,697 and 267,370 is: 587,415.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,697 : 267,370 = 267,370 : x
  2. Step 2: Convert to fraction form
    121,697/267,370 = 267,370/x
  3. Step 3: Cross multiply
    121,697x = 267,370 × 267,370
  4. Step 4: Simplify right side
    121,697x = 71,486,716,900
  5. Step 5: Solve for x
    x = 71,486,716,900/121,697
  6. Step 6: Final answer
    x = 587,415.61

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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.