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Finding the Third Proportional to 391.75 and 883.38

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Solution

The third proportional to 391.75 and 883.38 is: 1,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.75 : 883.38 = 883.38 : x
  2. Step 2: Convert to fraction form
    391.75/883.38 = 883.38/x
  3. Step 3: Cross multiply
    391.75x = 883.38 × 883.38
  4. Step 4: Simplify right side
    391.75x = 780,351.39
  5. Step 5: Solve for x
    x = 780,351.39/391.75
  6. Step 6: Final answer
    x = 1,991.96

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.