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Finding the Third Proportional to 20,185 and 41,809

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Solution

The third proportional to 20,185 and 41,809 is: 86,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185 : 41,809 = 41,809 : x
  2. Step 2: Convert to fraction form
    20,185/41,809 = 41,809/x
  3. Step 3: Cross multiply
    20,185x = 41,809 × 41,809
  4. Step 4: Simplify right side
    20,185x = 1,747,992,481
  5. Step 5: Solve for x
    x = 1,747,992,481/20,185
  6. Step 6: Final answer
    x = 86,598.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.