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Finding the Third Proportional to 105.19 and 226.69

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Solution

The third proportional to 105.19 and 226.69 is: 488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.19 : 226.69 = 226.69 : x
  2. Step 2: Convert to fraction form
    105.19/226.69 = 226.69/x
  3. Step 3: Cross multiply
    105.19x = 226.69 × 226.69
  4. Step 4: Simplify right side
    105.19x = 51,387.22
  5. Step 5: Solve for x
    x = 51,387.22/105.19
  6. Step 6: Final answer
    x = 488.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.