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Finding the Third Proportional to 43,920 and 68,112

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Solution

The third proportional to 43,920 and 68,112 is: 105,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,920 : 68,112 = 68,112 : x
  2. Step 2: Convert to fraction form
    43,920/68,112 = 68,112/x
  3. Step 3: Cross multiply
    43,920x = 68,112 × 68,112
  4. Step 4: Simplify right side
    43,920x = 4,639,244,544
  5. Step 5: Solve for x
    x = 4,639,244,544/43,920
  6. Step 6: Final answer
    x = 105,629.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.