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Finding the Third Proportional to 20,869 and 43,119

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Solution

The third proportional to 20,869 and 43,119 is: 89,091.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,869 : 43,119 = 43,119 : x
  2. Step 2: Convert to fraction form
    20,869/43,119 = 43,119/x
  3. Step 3: Cross multiply
    20,869x = 43,119 × 43,119
  4. Step 4: Simplify right side
    20,869x = 1,859,248,161
  5. Step 5: Solve for x
    x = 1,859,248,161/20,869
  6. Step 6: Final answer
    x = 89,091.39

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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.