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Finding the Third Proportional to 20,768 and 33,016

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Solution

The third proportional to 20,768 and 33,016 is: 52,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768 : 33,016 = 33,016 : x
  2. Step 2: Convert to fraction form
    20,768/33,016 = 33,016/x
  3. Step 3: Cross multiply
    20,768x = 33,016 × 33,016
  4. Step 4: Simplify right side
    20,768x = 1,090,056,256
  5. Step 5: Solve for x
    x = 1,090,056,256/20,768
  6. Step 6: Final answer
    x = 52,487.30

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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.