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Finding the Third Proportional to 396.19 and 865.88

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Solution

The third proportional to 396.19 and 865.88 is: 1,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.19 : 865.88 = 865.88 : x
  2. Step 2: Convert to fraction form
    396.19/865.88 = 865.88/x
  3. Step 3: Cross multiply
    396.19x = 865.88 × 865.88
  4. Step 4: Simplify right side
    396.19x = 749,739.52
  5. Step 5: Solve for x
    x = 749,739.52/396.19
  6. Step 6: Final answer
    x = 1,892.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.