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Finding the Third Proportional to 99,833 and 218,170

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Solution

The third proportional to 99,833 and 218,170 is: 476,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,833 : 218,170 = 218,170 : x
  2. Step 2: Convert to fraction form
    99,833/218,170 = 218,170/x
  3. Step 3: Cross multiply
    99,833x = 218,170 × 218,170
  4. Step 4: Simplify right side
    99,833x = 47,598,148,900
  5. Step 5: Solve for x
    x = 47,598,148,900/99,833
  6. Step 6: Final answer
    x = 476,777.71

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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.