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Finding the Third Proportional to 396.69 and 582.06

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Solution

The third proportional to 396.69 and 582.06 is: 854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.69 : 582.06 = 582.06 : x
  2. Step 2: Convert to fraction form
    396.69/582.06 = 582.06/x
  3. Step 3: Cross multiply
    396.69x = 582.06 × 582.06
  4. Step 4: Simplify right side
    396.69x = 338,796.75
  5. Step 5: Solve for x
    x = 338,796.75/396.69
  6. Step 6: Final answer
    x = 854.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.