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Finding the Third Proportional to 201.34 and 311.19

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Solution

The third proportional to 201.34 and 311.19 is: 480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.34 : 311.19 = 311.19 : x
  2. Step 2: Convert to fraction form
    201.34/311.19 = 311.19/x
  3. Step 3: Cross multiply
    201.34x = 311.19 × 311.19
  4. Step 4: Simplify right side
    201.34x = 96,836.44
  5. Step 5: Solve for x
    x = 96,836.44/201.34
  6. Step 6: Final answer
    x = 480.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.