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Finding the Third Proportional to 20,131 and 31,922

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Solution

The third proportional to 20,131 and 31,922 is: 50,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131 : 31,922 = 31,922 : x
  2. Step 2: Convert to fraction form
    20,131/31,922 = 31,922/x
  3. Step 3: Cross multiply
    20,131x = 31,922 × 31,922
  4. Step 4: Simplify right side
    20,131x = 1,019,014,084
  5. Step 5: Solve for x
    x = 1,019,014,084/20,131
  6. Step 6: Final answer
    x = 50,619.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.