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Finding the Third Proportional to 100.44 and 121.44

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Solution

The third proportional to 100.44 and 121.44 is: 146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.44 : 121.44 = 121.44 : x
  2. Step 2: Convert to fraction form
    100.44/121.44 = 121.44/x
  3. Step 3: Cross multiply
    100.44x = 121.44 × 121.44
  4. Step 4: Simplify right side
    100.44x = 14,747.07
  5. Step 5: Solve for x
    x = 14,747.07/100.44
  6. Step 6: Final answer
    x = 146.83

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.