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Finding the Third Proportional to 396.19 and 521.06

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Solution

The third proportional to 396.19 and 521.06 is: 685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.19 : 521.06 = 521.06 : x
  2. Step 2: Convert to fraction form
    396.19/521.06 = 521.06/x
  3. Step 3: Cross multiply
    396.19x = 521.06 × 521.06
  4. Step 4: Simplify right side
    396.19x = 271,506.13
  5. Step 5: Solve for x
    x = 271,506.13/396.19
  6. Step 6: Final answer
    x = 685.30

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.