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Finding the Third Proportional to 201.47 and 311.11

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Solution

The third proportional to 201.47 and 311.11 is: 480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.47 : 311.11 = 311.11 : x
  2. Step 2: Convert to fraction form
    201.47/311.11 = 311.11/x
  3. Step 3: Cross multiply
    201.47x = 311.11 × 311.11
  4. Step 4: Simplify right side
    201.47x = 96,787.22
  5. Step 5: Solve for x
    x = 96,787.22/201.47
  6. Step 6: Final answer
    x = 480.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.