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Finding the Third Proportional to 20,277 and 27,702

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Solution

The third proportional to 20,277 and 27,702 is: 37,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277 : 27,702 = 27,702 : x
  2. Step 2: Convert to fraction form
    20,277/27,702 = 27,702/x
  3. Step 3: Cross multiply
    20,277x = 27,702 × 27,702
  4. Step 4: Simplify right side
    20,277x = 767,400,804
  5. Step 5: Solve for x
    x = 767,400,804/20,277
  6. Step 6: Final answer
    x = 37,845.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.