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Finding the Third Proportional to 667.75 and 996.13

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Solution

The third proportional to 667.75 and 996.13 is: 1,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.75 : 996.13 = 996.13 : x
  2. Step 2: Convert to fraction form
    667.75/996.13 = 996.13/x
  3. Step 3: Cross multiply
    667.75x = 996.13 × 996.13
  4. Step 4: Simplify right side
    667.75x = 992,265.02
  5. Step 5: Solve for x
    x = 992,265.02/667.75
  6. Step 6: Final answer
    x = 1,485.98

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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.