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Finding the Third Proportional to 201.80 and 218.67

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Solution

The third proportional to 201.80 and 218.67 is: 236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.80 : 218.67 = 218.67 : x
  2. Step 2: Convert to fraction form
    201.80/218.67 = 218.67/x
  3. Step 3: Cross multiply
    201.80x = 218.67 × 218.67
  4. Step 4: Simplify right side
    201.80x = 47,817.39
  5. Step 5: Solve for x
    x = 47,817.39/201.80
  6. Step 6: Final answer
    x = 236.96

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.