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Finding the Third Proportional to 658.76 and 997.87

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Solution

The third proportional to 658.76 and 997.87 is: 1,511.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.76 : 997.87 = 997.87 : x
  2. Step 2: Convert to fraction form
    658.76/997.87 = 997.87/x
  3. Step 3: Cross multiply
    658.76x = 997.87 × 997.87
  4. Step 4: Simplify right side
    658.76x = 995,736.97
  5. Step 5: Solve for x
    x = 995,736.97/658.76
  6. Step 6: Final answer
    x = 1,511.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.