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Finding the Third Proportional to 18,978 and 27,334

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Solution

The third proportional to 18,978 and 27,334 is: 39,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978 : 27,334 = 27,334 : x
  2. Step 2: Convert to fraction form
    18,978/27,334 = 27,334/x
  3. Step 3: Cross multiply
    18,978x = 27,334 × 27,334
  4. Step 4: Simplify right side
    18,978x = 747,147,556
  5. Step 5: Solve for x
    x = 747,147,556/18,978
  6. Step 6: Final answer
    x = 39,369.14

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.