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Finding the Third Proportional to 396.14 and 859.68

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Solution

The third proportional to 396.14 and 859.68 is: 1,865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.14 : 859.68 = 859.68 : x
  2. Step 2: Convert to fraction form
    396.14/859.68 = 859.68/x
  3. Step 3: Cross multiply
    396.14x = 859.68 × 859.68
  4. Step 4: Simplify right side
    396.14x = 739,042.45
  5. Step 5: Solve for x
    x = 739,042.45/396.14
  6. Step 6: Final answer
    x = 1,865.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.