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Finding the Third Proportional to 43,960 and 68,120

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Solution

The third proportional to 43,960 and 68,120 is: 105,558.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,960 : 68,120 = 68,120 : x
  2. Step 2: Convert to fraction form
    43,960/68,120 = 68,120/x
  3. Step 3: Cross multiply
    43,960x = 68,120 × 68,120
  4. Step 4: Simplify right side
    43,960x = 4,640,334,400
  5. Step 5: Solve for x
    x = 4,640,334,400/43,960
  6. Step 6: Final answer
    x = 105,558.11

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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.