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Finding the Third Proportional to 122,142 and 267,900

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Solution

The third proportional to 122,142 and 267,900 is: 587,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,142 : 267,900 = 267,900 : x
  2. Step 2: Convert to fraction form
    122,142/267,900 = 267,900/x
  3. Step 3: Cross multiply
    122,142x = 267,900 × 267,900
  4. Step 4: Simplify right side
    122,142x = 71,770,410,000
  5. Step 5: Solve for x
    x = 71,770,410,000/122,142
  6. Step 6: Final answer
    x = 587,598.12

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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.