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Finding the Third Proportional to 267 and 617.81

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Solution

The third proportional to 267 and 617.81 is: 1,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267 : 617.81 = 617.81 : x
  2. Step 2: Convert to fraction form
    267/617.81 = 617.81/x
  3. Step 3: Cross multiply
    267x = 617.81 × 617.81
  4. Step 4: Simplify right side
    267x = 381,692.29
  5. Step 5: Solve for x
    x = 381,692.29/267
  6. Step 6: Final answer
    x = 1,429.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.