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Finding the Third Proportional to 41,920 and 91,212

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Solution

The third proportional to 41,920 and 91,212 is: 198,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,920 : 91,212 = 91,212 : x
  2. Step 2: Convert to fraction form
    41,920/91,212 = 91,212/x
  3. Step 3: Cross multiply
    41,920x = 91,212 × 91,212
  4. Step 4: Simplify right side
    41,920x = 8,319,628,944
  5. Step 5: Solve for x
    x = 8,319,628,944/41,920
  6. Step 6: Final answer
    x = 198,464.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.