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Finding the Third Proportional to 18,806 and 40,849

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Solution

The third proportional to 18,806 and 40,849 is: 88,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,806 : 40,849 = 40,849 : x
  2. Step 2: Convert to fraction form
    18,806/40,849 = 40,849/x
  3. Step 3: Cross multiply
    18,806x = 40,849 × 40,849
  4. Step 4: Simplify right side
    18,806x = 1,668,640,801
  5. Step 5: Solve for x
    x = 1,668,640,801/18,806
  6. Step 6: Final answer
    x = 88,729.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.