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Finding the Third Proportional to 110,770.50 and 150,198

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Solution

The third proportional to 110,770.50 and 150,198 is: 203,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,770.50 : 150,198 = 150,198 : x
  2. Step 2: Convert to fraction form
    110,770.50/150,198 = 150,198/x
  3. Step 3: Cross multiply
    110,770.50x = 150,198 × 150,198
  4. Step 4: Simplify right side
    110,770.50x = 22,559,439,204
  5. Step 5: Solve for x
    x = 22,559,439,204/110,770.50
  6. Step 6: Final answer
    x = 203,659.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.