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Finding the Third Proportional to 104.91 and 223.83

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Solution

The third proportional to 104.91 and 223.83 is: 477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.91 : 223.83 = 223.83 : x
  2. Step 2: Convert to fraction form
    104.91/223.83 = 223.83/x
  3. Step 3: Cross multiply
    104.91x = 223.83 × 223.83
  4. Step 4: Simplify right side
    104.91x = 50,099.03
  5. Step 5: Solve for x
    x = 50,099.03/104.91
  6. Step 6: Final answer
    x = 477.56

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.