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Finding the Third Proportional to 122,408 and 267,280

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Solution

The third proportional to 122,408 and 267,280 is: 583,610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,408 : 267,280 = 267,280 : x
  2. Step 2: Convert to fraction form
    122,408/267,280 = 267,280/x
  3. Step 3: Cross multiply
    122,408x = 267,280 × 267,280
  4. Step 4: Simplify right side
    122,408x = 71,438,598,400
  5. Step 5: Solve for x
    x = 71,438,598,400/122,408
  6. Step 6: Final answer
    x = 583,610.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.