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Finding the Third Proportional to 43,806 and 67,749

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Solution

The third proportional to 43,806 and 67,749 is: 104,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,806 : 67,749 = 67,749 : x
  2. Step 2: Convert to fraction form
    43,806/67,749 = 67,749/x
  3. Step 3: Cross multiply
    43,806x = 67,749 × 67,749
  4. Step 4: Simplify right side
    43,806x = 4,589,927,001
  5. Step 5: Solve for x
    x = 4,589,927,001/43,806
  6. Step 6: Final answer
    x = 104,778.50

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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.