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Finding the Third Proportional to 13,724 and 21,936

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Solution

The third proportional to 13,724 and 21,936 is: 35,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724 : 21,936 = 21,936 : x
  2. Step 2: Convert to fraction form
    13,724/21,936 = 21,936/x
  3. Step 3: Cross multiply
    13,724x = 21,936 × 21,936
  4. Step 4: Simplify right side
    13,724x = 481,188,096
  5. Step 5: Solve for x
    x = 481,188,096/13,724
  6. Step 6: Final answer
    x = 35,061.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.