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Finding the Third Proportional to 20,138 and 27,827

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Solution

The third proportional to 20,138 and 27,827 is: 38,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138 : 27,827 = 27,827 : x
  2. Step 2: Convert to fraction form
    20,138/27,827 = 27,827/x
  3. Step 3: Cross multiply
    20,138x = 27,827 × 27,827
  4. Step 4: Simplify right side
    20,138x = 774,341,929
  5. Step 5: Solve for x
    x = 774,341,929/20,138
  6. Step 6: Final answer
    x = 38,451.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.