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Finding the Third Proportional to 231.38 and 311.81

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Solution

The third proportional to 231.38 and 311.81 is: 420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.38 : 311.81 = 311.81 : x
  2. Step 2: Convert to fraction form
    231.38/311.81 = 311.81/x
  3. Step 3: Cross multiply
    231.38x = 311.81 × 311.81
  4. Step 4: Simplify right side
    231.38x = 97,227.04
  5. Step 5: Solve for x
    x = 97,227.04/231.38
  6. Step 6: Final answer
    x = 420.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.