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Finding the Third Proportional to 18,116 and 27,999

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Solution

The third proportional to 18,116 and 27,999 is: 43,273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,116 : 27,999 = 27,999 : x
  2. Step 2: Convert to fraction form
    18,116/27,999 = 27,999/x
  3. Step 3: Cross multiply
    18,116x = 27,999 × 27,999
  4. Step 4: Simplify right side
    18,116x = 783,944,001
  5. Step 5: Solve for x
    x = 783,944,001/18,116
  6. Step 6: Final answer
    x = 43,273.57

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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.