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Finding the Third Proportional to 20,693 and 27,759

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Solution

The third proportional to 20,693 and 27,759 is: 37,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,693 : 27,759 = 27,759 : x
  2. Step 2: Convert to fraction form
    20,693/27,759 = 27,759/x
  3. Step 3: Cross multiply
    20,693x = 27,759 × 27,759
  4. Step 4: Simplify right side
    20,693x = 770,562,081
  5. Step 5: Solve for x
    x = 770,562,081/20,693
  6. Step 6: Final answer
    x = 37,237.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.