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Finding the Third Proportional to 396.56 and 914.84

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Solution

The third proportional to 396.56 and 914.84 is: 2,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.56 : 914.84 = 914.84 : x
  2. Step 2: Convert to fraction form
    396.56/914.84 = 914.84/x
  3. Step 3: Cross multiply
    396.56x = 914.84 × 914.84
  4. Step 4: Simplify right side
    396.56x = 836,924.79
  5. Step 5: Solve for x
    x = 836,924.79/396.56
  6. Step 6: Final answer
    x = 2,110.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.