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Finding the Third Proportional to 20,825 and 33,308

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Solution

The third proportional to 20,825 and 33,308 is: 53,273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,825 : 33,308 = 33,308 : x
  2. Step 2: Convert to fraction form
    20,825/33,308 = 33,308/x
  3. Step 3: Cross multiply
    20,825x = 33,308 × 33,308
  4. Step 4: Simplify right side
    20,825x = 1,109,422,864
  5. Step 5: Solve for x
    x = 1,109,422,864/20,825
  6. Step 6: Final answer
    x = 53,273.61

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.