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Finding the Third Proportional to 396.25 and 911.88

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Solution

The third proportional to 396.25 and 911.88 is: 2,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.25 : 911.88 = 911.88 : x
  2. Step 2: Convert to fraction form
    396.25/911.88 = 911.88/x
  3. Step 3: Cross multiply
    396.25x = 911.88 × 911.88
  4. Step 4: Simplify right side
    396.25x = 831,516.02
  5. Step 5: Solve for x
    x = 831,516.02/396.25
  6. Step 6: Final answer
    x = 2,098.46

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.