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Finding the Third Proportional to 667.75 and 997.75

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Solution

The third proportional to 667.75 and 997.75 is: 1,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.75 : 997.75 = 997.75 : x
  2. Step 2: Convert to fraction form
    667.75/997.75 = 997.75/x
  3. Step 3: Cross multiply
    667.75x = 997.75 × 997.75
  4. Step 4: Simplify right side
    667.75x = 995,505.06
  5. Step 5: Solve for x
    x = 995,505.06/667.75
  6. Step 6: Final answer
    x = 1,490.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.