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Finding the Third Proportional to 18,181 and 38,559

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Solution

The third proportional to 18,181 and 38,559 is: 81,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,181 : 38,559 = 38,559 : x
  2. Step 2: Convert to fraction form
    18,181/38,559 = 38,559/x
  3. Step 3: Cross multiply
    18,181x = 38,559 × 38,559
  4. Step 4: Simplify right side
    18,181x = 1,486,796,481
  5. Step 5: Solve for x
    x = 1,486,796,481/18,181
  6. Step 6: Final answer
    x = 81,777.49

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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.