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Finding the Third Proportional to 101,198 and 221,836

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Solution

The third proportional to 101,198 and 221,836 is: 486,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,198 : 221,836 = 221,836 : x
  2. Step 2: Convert to fraction form
    101,198/221,836 = 221,836/x
  3. Step 3: Cross multiply
    101,198x = 221,836 × 221,836
  4. Step 4: Simplify right side
    101,198x = 49,211,210,896
  5. Step 5: Solve for x
    x = 49,211,210,896/101,198
  6. Step 6: Final answer
    x = 486,286.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.