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Finding the Third Proportional to 105.36 and 213.26

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Solution

The third proportional to 105.36 and 213.26 is: 431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.36 : 213.26 = 213.26 : x
  2. Step 2: Convert to fraction form
    105.36/213.26 = 213.26/x
  3. Step 3: Cross multiply
    105.36x = 213.26 × 213.26
  4. Step 4: Simplify right side
    105.36x = 45,478.89
  5. Step 5: Solve for x
    x = 45,478.89/105.36
  6. Step 6: Final answer
    x = 431.64

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.