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Finding the Third Proportional to 101,869 and 221,449

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Solution

The third proportional to 101,869 and 221,449 is: 481,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,869 : 221,449 = 221,449 : x
  2. Step 2: Convert to fraction form
    101,869/221,449 = 221,449/x
  3. Step 3: Cross multiply
    101,869x = 221,449 × 221,449
  4. Step 4: Simplify right side
    101,869x = 49,039,659,601
  5. Step 5: Solve for x
    x = 49,039,659,601/101,869
  6. Step 6: Final answer
    x = 481,399.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.