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Finding the Third Proportional to 20,112 and 31,873

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Solution

The third proportional to 20,112 and 31,873 is: 50,511.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112 : 31,873 = 31,873 : x
  2. Step 2: Convert to fraction form
    20,112/31,873 = 31,873/x
  3. Step 3: Cross multiply
    20,112x = 31,873 × 31,873
  4. Step 4: Simplify right side
    20,112x = 1,015,888,129
  5. Step 5: Solve for x
    x = 1,015,888,129/20,112
  6. Step 6: Final answer
    x = 50,511.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.