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Finding the Third Proportional to 18,678 and 39,086

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Solution

The third proportional to 18,678 and 39,086 is: 81,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678 : 39,086 = 39,086 : x
  2. Step 2: Convert to fraction form
    18,678/39,086 = 39,086/x
  3. Step 3: Cross multiply
    18,678x = 39,086 × 39,086
  4. Step 4: Simplify right side
    18,678x = 1,527,715,396
  5. Step 5: Solve for x
    x = 1,527,715,396/18,678
  6. Step 6: Final answer
    x = 81,792.24

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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.