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Finding the Third Proportional to 18,605 and 39,121

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Solution

The third proportional to 18,605 and 39,121 is: 82,260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,605 : 39,121 = 39,121 : x
  2. Step 2: Convert to fraction form
    18,605/39,121 = 39,121/x
  3. Step 3: Cross multiply
    18,605x = 39,121 × 39,121
  4. Step 4: Simplify right side
    18,605x = 1,530,452,641
  5. Step 5: Solve for x
    x = 1,530,452,641/18,605
  6. Step 6: Final answer
    x = 82,260.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.