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Finding the Third Proportional to 103.36 and 225.18

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Solution

The third proportional to 103.36 and 225.18 is: 490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.36 : 225.18 = 225.18 : x
  2. Step 2: Convert to fraction form
    103.36/225.18 = 225.18/x
  3. Step 3: Cross multiply
    103.36x = 225.18 × 225.18
  4. Step 4: Simplify right side
    103.36x = 50,704.13
  5. Step 5: Solve for x
    x = 50,704.13/103.36
  6. Step 6: Final answer
    x = 490.56

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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.