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Finding the Third Proportional to 43,662 and 69,249

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Solution

The third proportional to 43,662 and 69,249 is: 109,830.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,662 : 69,249 = 69,249 : x
  2. Step 2: Convert to fraction form
    43,662/69,249 = 69,249/x
  3. Step 3: Cross multiply
    43,662x = 69,249 × 69,249
  4. Step 4: Simplify right side
    43,662x = 4,795,424,001
  5. Step 5: Solve for x
    x = 4,795,424,001/43,662
  6. Step 6: Final answer
    x = 109,830.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.