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Finding the Third Proportional to 396.28 and 862.22

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Solution

The third proportional to 396.28 and 862.22 is: 1,875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.28 : 862.22 = 862.22 : x
  2. Step 2: Convert to fraction form
    396.28/862.22 = 862.22/x
  3. Step 3: Cross multiply
    396.28x = 862.22 × 862.22
  4. Step 4: Simplify right side
    396.28x = 743,421.17
  5. Step 5: Solve for x
    x = 743,421.17/396.28
  6. Step 6: Final answer
    x = 1,875.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.