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Finding the Third Proportional to 267.68 and 580.29

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Solution

The third proportional to 267.68 and 580.29 is: 1,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.68 : 580.29 = 580.29 : x
  2. Step 2: Convert to fraction form
    267.68/580.29 = 580.29/x
  3. Step 3: Cross multiply
    267.68x = 580.29 × 580.29
  4. Step 4: Simplify right side
    267.68x = 336,735.40
  5. Step 5: Solve for x
    x = 336,735.40/267.68
  6. Step 6: Final answer
    x = 1,257.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.