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Finding the Third Proportional to 20,817 and 27,756

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Solution

The third proportional to 20,817 and 27,756 is: 37,008

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817 : 27,756 = 27,756 : x
  2. Step 2: Convert to fraction form
    20,817/27,756 = 27,756/x
  3. Step 3: Cross multiply
    20,817x = 27,756 × 27,756
  4. Step 4: Simplify right side
    20,817x = 770,395,536
  5. Step 5: Solve for x
    x = 770,395,536/20,817
  6. Step 6: Final answer
    x = 37,008

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.