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Finding the Third Proportional to 43,813 and 71,187

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Solution

The third proportional to 43,813 and 71,187 is: 115,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,813 : 71,187 = 71,187 : x
  2. Step 2: Convert to fraction form
    43,813/71,187 = 71,187/x
  3. Step 3: Cross multiply
    43,813x = 71,187 × 71,187
  4. Step 4: Simplify right side
    43,813x = 5,067,588,969
  5. Step 5: Solve for x
    x = 5,067,588,969/43,813
  6. Step 6: Final answer
    x = 115,664.05

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.