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Finding the Third Proportional to 122.79 and 267.28

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Solution

The third proportional to 122.79 and 267.28 is: 581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.79 : 267.28 = 267.28 : x
  2. Step 2: Convert to fraction form
    122.79/267.28 = 267.28/x
  3. Step 3: Cross multiply
    122.79x = 267.28 × 267.28
  4. Step 4: Simplify right side
    122.79x = 71,439.27
  5. Step 5: Solve for x
    x = 71,439.27/122.79
  6. Step 6: Final answer
    x = 581.80

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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.