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Finding the Third Proportional to 105.36 and 215.71

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Solution

The third proportional to 105.36 and 215.71 is: 441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.36 : 215.71 = 215.71 : x
  2. Step 2: Convert to fraction form
    105.36/215.71 = 215.71/x
  3. Step 3: Cross multiply
    105.36x = 215.71 × 215.71
  4. Step 4: Simplify right side
    105.36x = 46,530.79
  5. Step 5: Solve for x
    x = 46,530.79/105.36
  6. Step 6: Final answer
    x = 441.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.