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Finding the Third Proportional to 18,489 and 37,665

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Solution

The third proportional to 18,489 and 37,665 is: 76,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,489 : 37,665 = 37,665 : x
  2. Step 2: Convert to fraction form
    18,489/37,665 = 37,665/x
  3. Step 3: Cross multiply
    18,489x = 37,665 × 37,665
  4. Step 4: Simplify right side
    18,489x = 1,418,652,225
  5. Step 5: Solve for x
    x = 1,418,652,225/18,489
  6. Step 6: Final answer
    x = 76,729.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.