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Finding the Third Proportional to 396.98 and 959.13

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Solution

The third proportional to 396.98 and 959.13 is: 2,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.98 : 959.13 = 959.13 : x
  2. Step 2: Convert to fraction form
    396.98/959.13 = 959.13/x
  3. Step 3: Cross multiply
    396.98x = 959.13 × 959.13
  4. Step 4: Simplify right side
    396.98x = 919,935.75
  5. Step 5: Solve for x
    x = 919,935.75/396.98
  6. Step 6: Final answer
    x = 2,317.31

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.