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Finding the Third Proportional to 137,867 and 221,198

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Solution

The third proportional to 137,867 and 221,198 is: 354,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,867 : 221,198 = 221,198 : x
  2. Step 2: Convert to fraction form
    137,867/221,198 = 221,198/x
  3. Step 3: Cross multiply
    137,867x = 221,198 × 221,198
  4. Step 4: Simplify right side
    137,867x = 48,928,555,204
  5. Step 5: Solve for x
    x = 48,928,555,204/137,867
  6. Step 6: Final answer
    x = 354,896.79

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.