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Finding the Third Proportional to 18,108 and 38,969

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Solution

The third proportional to 18,108 and 38,969 is: 83,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,108 : 38,969 = 38,969 : x
  2. Step 2: Convert to fraction form
    18,108/38,969 = 38,969/x
  3. Step 3: Cross multiply
    18,108x = 38,969 × 38,969
  4. Step 4: Simplify right side
    18,108x = 1,518,582,961
  5. Step 5: Solve for x
    x = 1,518,582,961/18,108
  6. Step 6: Final answer
    x = 83,862.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.