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Finding the Third Proportional to 103.63 and 225.44

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Solution

The third proportional to 103.63 and 225.44 is: 490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.63 : 225.44 = 225.44 : x
  2. Step 2: Convert to fraction form
    103.63/225.44 = 225.44/x
  3. Step 3: Cross multiply
    103.63x = 225.44 × 225.44
  4. Step 4: Simplify right side
    103.63x = 50,822.07
  5. Step 5: Solve for x
    x = 50,822.07/103.63
  6. Step 6: Final answer
    x = 490.44

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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.