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Finding the Third Proportional to 109.44 and 252.22

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Solution

The third proportional to 109.44 and 252.22 is: 581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.44 : 252.22 = 252.22 : x
  2. Step 2: Convert to fraction form
    109.44/252.22 = 252.22/x
  3. Step 3: Cross multiply
    109.44x = 252.22 × 252.22
  4. Step 4: Simplify right side
    109.44x = 63,614.30
  5. Step 5: Solve for x
    x = 63,614.30/109.44
  6. Step 6: Final answer
    x = 581.28

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.