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Finding the Third Proportional to 267.89 and 414.70

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Solution

The third proportional to 267.89 and 414.70 is: 641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.89 : 414.70 = 414.70 : x
  2. Step 2: Convert to fraction form
    267.89/414.70 = 414.70/x
  3. Step 3: Cross multiply
    267.89x = 414.70 × 414.70
  4. Step 4: Simplify right side
    267.89x = 171,978.68
  5. Step 5: Solve for x
    x = 171,978.68/267.89
  6. Step 6: Final answer
    x = 641.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.