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Finding the Third Proportional to 267.05 and 356.27

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Solution

The third proportional to 267.05 and 356.27 is: 475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.05 : 356.27 = 356.27 : x
  2. Step 2: Convert to fraction form
    267.05/356.27 = 356.27/x
  3. Step 3: Cross multiply
    267.05x = 356.27 × 356.27
  4. Step 4: Simplify right side
    267.05x = 126,930.76
  5. Step 5: Solve for x
    x = 126,930.76/267.05
  6. Step 6: Final answer
    x = 475.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.