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Finding the Third Proportional to 396.89 and 851.16

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Solution

The third proportional to 396.89 and 851.16 is: 1,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.89 : 851.16 = 851.16 : x
  2. Step 2: Convert to fraction form
    396.89/851.16 = 851.16/x
  3. Step 3: Cross multiply
    396.89x = 851.16 × 851.16
  4. Step 4: Simplify right side
    396.89x = 724,466.96
  5. Step 5: Solve for x
    x = 724,466.96/396.89
  6. Step 6: Final answer
    x = 1,825.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.