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Finding the Third Proportional to 13,756 and 20,665

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Solution

The third proportional to 13,756 and 20,665 is: 31,044.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756 : 20,665 = 20,665 : x
  2. Step 2: Convert to fraction form
    13,756/20,665 = 20,665/x
  3. Step 3: Cross multiply
    13,756x = 20,665 × 20,665
  4. Step 4: Simplify right side
    13,756x = 427,042,225
  5. Step 5: Solve for x
    x = 427,042,225/13,756
  6. Step 6: Final answer
    x = 31,044.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.