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Finding the Third Proportional to 20,889 and 43,161

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Solution

The third proportional to 20,889 and 43,161 is: 89,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,889 : 43,161 = 43,161 : x
  2. Step 2: Convert to fraction form
    20,889/43,161 = 43,161/x
  3. Step 3: Cross multiply
    20,889x = 43,161 × 43,161
  4. Step 4: Simplify right side
    20,889x = 1,862,871,921
  5. Step 5: Solve for x
    x = 1,862,871,921/20,889
  6. Step 6: Final answer
    x = 89,179.56

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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.