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Finding the Third Proportional to 99,843 and 218,112

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Solution

The third proportional to 99,843 and 218,112 is: 476,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,843 : 218,112 = 218,112 : x
  2. Step 2: Convert to fraction form
    99,843/218,112 = 218,112/x
  3. Step 3: Cross multiply
    99,843x = 218,112 × 218,112
  4. Step 4: Simplify right side
    99,843x = 47,572,844,544
  5. Step 5: Solve for x
    x = 47,572,844,544/99,843
  6. Step 6: Final answer
    x = 476,476.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.