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Finding the Third Proportional to 101.44 and 223.50

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Solution

The third proportional to 101.44 and 223.50 is: 492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.44 : 223.50 = 223.50 : x
  2. Step 2: Convert to fraction form
    101.44/223.50 = 223.50/x
  3. Step 3: Cross multiply
    101.44x = 223.50 × 223.50
  4. Step 4: Simplify right side
    101.44x = 49,952.25
  5. Step 5: Solve for x
    x = 49,952.25/101.44
  6. Step 6: Final answer
    x = 492.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.