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Finding the Third Proportional to 396.84 and 913.92

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Solution

The third proportional to 396.84 and 913.92 is: 2,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.84 : 913.92 = 913.92 : x
  2. Step 2: Convert to fraction form
    396.84/913.92 = 913.92/x
  3. Step 3: Cross multiply
    396.84x = 913.92 × 913.92
  4. Step 4: Simplify right side
    396.84x = 835,253.19
  5. Step 5: Solve for x
    x = 835,253.19/396.84
  6. Step 6: Final answer
    x = 2,104.74

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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.