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Finding the Third Proportional to 20,844 and 33,861

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Solution

The third proportional to 20,844 and 33,861 is: 55,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844 : 33,861 = 33,861 : x
  2. Step 2: Convert to fraction form
    20,844/33,861 = 33,861/x
  3. Step 3: Cross multiply
    20,844x = 33,861 × 33,861
  4. Step 4: Simplify right side
    20,844x = 1,146,567,321
  5. Step 5: Solve for x
    x = 1,146,567,321/20,844
  6. Step 6: Final answer
    x = 55,007.07

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.