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Finding the Third Proportional to 101.20 and 222.19

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Solution

The third proportional to 101.20 and 222.19 is: 487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.20 : 222.19 = 222.19 : x
  2. Step 2: Convert to fraction form
    101.20/222.19 = 222.19/x
  3. Step 3: Cross multiply
    101.20x = 222.19 × 222.19
  4. Step 4: Simplify right side
    101.20x = 49,367.29
  5. Step 5: Solve for x
    x = 49,367.29/101.20
  6. Step 6: Final answer
    x = 487.80

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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.