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Finding the Third Proportional to 20,768 and 33,144

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Solution

The third proportional to 20,768 and 33,144 is: 52,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768 : 33,144 = 33,144 : x
  2. Step 2: Convert to fraction form
    20,768/33,144 = 33,144/x
  3. Step 3: Cross multiply
    20,768x = 33,144 × 33,144
  4. Step 4: Simplify right side
    20,768x = 1,098,524,736
  5. Step 5: Solve for x
    x = 1,098,524,736/20,768
  6. Step 6: Final answer
    x = 52,895.07

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Why These Related Problems?

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