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Finding the Third Proportional to 331.13 and 391.88

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Solution

The third proportional to 331.13 and 391.88 is: 463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.13 : 391.88 = 391.88 : x
  2. Step 2: Convert to fraction form
    331.13/391.88 = 391.88/x
  3. Step 3: Cross multiply
    331.13x = 391.88 × 391.88
  4. Step 4: Simplify right side
    331.13x = 153,566.02
  5. Step 5: Solve for x
    x = 153,566.02/331.13
  6. Step 6: Final answer
    x = 463.77

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.