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Finding the Third Proportional to 396.56 and 659.81

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Solution

The third proportional to 396.56 and 659.81 is: 1,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.56 : 659.81 = 659.81 : x
  2. Step 2: Convert to fraction form
    396.56/659.81 = 659.81/x
  3. Step 3: Cross multiply
    396.56x = 659.81 × 659.81
  4. Step 4: Simplify right side
    396.56x = 435,352.54
  5. Step 5: Solve for x
    x = 435,352.54/396.56
  6. Step 6: Final answer
    x = 1,097.82

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.