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Finding the Third Proportional to 43,811 and 91,999

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Solution

The third proportional to 43,811 and 91,999 is: 193,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,811 : 91,999 = 91,999 : x
  2. Step 2: Convert to fraction form
    43,811/91,999 = 91,999/x
  3. Step 3: Cross multiply
    43,811x = 91,999 × 91,999
  4. Step 4: Simplify right side
    43,811x = 8,463,816,001
  5. Step 5: Solve for x
    x = 8,463,816,001/43,811
  6. Step 6: Final answer
    x = 193,189.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.