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Finding the Third Proportional to 396 and 978

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Solution

The third proportional to 396 and 978 is: 2,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 978 = 978 : x
  2. Step 2: Convert to fraction form
    396/978 = 978/x
  3. Step 3: Cross multiply
    396x = 978 × 978
  4. Step 4: Simplify right side
    396x = 956,484
  5. Step 5: Solve for x
    x = 956,484/396
  6. Step 6: Final answer
    x = 2,415.36

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These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.