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Finding the Third Proportional to 18,399 and 38,990

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Solution

The third proportional to 18,399 and 38,990 is: 82,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,399 : 38,990 = 38,990 : x
  2. Step 2: Convert to fraction form
    18,399/38,990 = 38,990/x
  3. Step 3: Cross multiply
    18,399x = 38,990 × 38,990
  4. Step 4: Simplify right side
    18,399x = 1,520,220,100
  5. Step 5: Solve for x
    x = 1,520,220,100/18,399
  6. Step 6: Final answer
    x = 82,625.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.