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Finding the Third Proportional to 101.38 and 222.44

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Solution

The third proportional to 101.38 and 222.44 is: 488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.38 : 222.44 = 222.44 : x
  2. Step 2: Convert to fraction form
    101.38/222.44 = 222.44/x
  3. Step 3: Cross multiply
    101.38x = 222.44 × 222.44
  4. Step 4: Simplify right side
    101.38x = 49,478.44
  5. Step 5: Solve for x
    x = 49,478.44/101.38
  6. Step 6: Final answer
    x = 488.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.