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Finding the Third Proportional to 18,732.75 and 39,186.75

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Solution

The third proportional to 18,732.75 and 39,186.75 is: 81,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,732.75 : 39,186.75 = 39,186.75 : x
  2. Step 2: Convert to fraction form
    18,732.75/39,186.75 = 39,186.75/x
  3. Step 3: Cross multiply
    18,732.75x = 39,186.75 × 39,186.75
  4. Step 4: Simplify right side
    18,732.75x = 1,535,601,375.56
  5. Step 5: Solve for x
    x = 1,535,601,375.56/18,732.75
  6. Step 6: Final answer
    x = 81,974.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.