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Finding the Third Proportional to 43,812 and 67,965

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Solution

The third proportional to 43,812 and 67,965 is: 105,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,812 : 67,965 = 67,965 : x
  2. Step 2: Convert to fraction form
    43,812/67,965 = 67,965/x
  3. Step 3: Cross multiply
    43,812x = 67,965 × 67,965
  4. Step 4: Simplify right side
    43,812x = 4,619,241,225
  5. Step 5: Solve for x
    x = 4,619,241,225/43,812
  6. Step 6: Final answer
    x = 105,433.24

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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.