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Finding the Third Proportional to 18,181 and 38,989

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Solution

The third proportional to 18,181 and 38,989 is: 83,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,181 : 38,989 = 38,989 : x
  2. Step 2: Convert to fraction form
    18,181/38,989 = 38,989/x
  3. Step 3: Cross multiply
    18,181x = 38,989 × 38,989
  4. Step 4: Simplify right side
    18,181x = 1,520,142,121
  5. Step 5: Solve for x
    x = 1,520,142,121/18,181
  6. Step 6: Final answer
    x = 83,611.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.