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Finding the Third Proportional to 43,809 and 91,995

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Solution

The third proportional to 43,809 and 91,995 is: 193,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,809 : 91,995 = 91,995 : x
  2. Step 2: Convert to fraction form
    43,809/91,995 = 91,995/x
  3. Step 3: Cross multiply
    43,809x = 91,995 × 91,995
  4. Step 4: Simplify right side
    43,809x = 8,463,080,025
  5. Step 5: Solve for x
    x = 8,463,080,025/43,809
  6. Step 6: Final answer
    x = 193,181.31

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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.