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Finding the Third Proportional to 100.44 and 216.41

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Solution

The third proportional to 100.44 and 216.41 is: 466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.44 : 216.41 = 216.41 : x
  2. Step 2: Convert to fraction form
    100.44/216.41 = 216.41/x
  3. Step 3: Cross multiply
    100.44x = 216.41 × 216.41
  4. Step 4: Simplify right side
    100.44x = 46,831.67
  5. Step 5: Solve for x
    x = 46,831.67/100.44
  6. Step 6: Final answer
    x = 466.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.