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Finding the Third Proportional to 18,206 and 27,838

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Solution

The third proportional to 18,206 and 27,838 is: 42,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206 : 27,838 = 27,838 : x
  2. Step 2: Convert to fraction form
    18,206/27,838 = 27,838/x
  3. Step 3: Cross multiply
    18,206x = 27,838 × 27,838
  4. Step 4: Simplify right side
    18,206x = 774,954,244
  5. Step 5: Solve for x
    x = 774,954,244/18,206
  6. Step 6: Final answer
    x = 42,565.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.