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Finding the Third Proportional to 201.87 and 311.94

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Solution

The third proportional to 201.87 and 311.94 is: 482.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.87 : 311.94 = 311.94 : x
  2. Step 2: Convert to fraction form
    201.87/311.94 = 311.94/x
  3. Step 3: Cross multiply
    201.87x = 311.94 × 311.94
  4. Step 4: Simplify right side
    201.87x = 97,307.44
  5. Step 5: Solve for x
    x = 97,307.44/201.87
  6. Step 6: Final answer
    x = 482.04

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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.