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Finding the Third Proportional to 43,138 and 68,868

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Solution

The third proportional to 43,138 and 68,868 is: 109,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,138 : 68,868 = 68,868 : x
  2. Step 2: Convert to fraction form
    43,138/68,868 = 68,868/x
  3. Step 3: Cross multiply
    43,138x = 68,868 × 68,868
  4. Step 4: Simplify right side
    43,138x = 4,742,801,424
  5. Step 5: Solve for x
    x = 4,742,801,424/43,138
  6. Step 6: Final answer
    x = 109,944.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.