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Finding the Third Proportional to 100.44 and 212.81

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Solution

The third proportional to 100.44 and 212.81 is: 450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.44 : 212.81 = 212.81 : x
  2. Step 2: Convert to fraction form
    100.44/212.81 = 212.81/x
  3. Step 3: Cross multiply
    100.44x = 212.81 × 212.81
  4. Step 4: Simplify right side
    100.44x = 45,289.16
  5. Step 5: Solve for x
    x = 45,289.16/100.44
  6. Step 6: Final answer
    x = 450.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.