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Finding the Third Proportional to 100,199 and 218,866

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Solution

The third proportional to 100,199 and 218,866 is: 478,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,199 : 218,866 = 218,866 : x
  2. Step 2: Convert to fraction form
    100,199/218,866 = 218,866/x
  3. Step 3: Cross multiply
    100,199x = 218,866 × 218,866
  4. Step 4: Simplify right side
    100,199x = 47,902,325,956
  5. Step 5: Solve for x
    x = 47,902,325,956/100,199
  6. Step 6: Final answer
    x = 478,071.90

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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.