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Finding the Third Proportional to 20,016 and 43,056

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Solution

The third proportional to 20,016 and 43,056 is: 92,616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,016 : 43,056 = 43,056 : x
  2. Step 2: Convert to fraction form
    20,016/43,056 = 43,056/x
  3. Step 3: Cross multiply
    20,016x = 43,056 × 43,056
  4. Step 4: Simplify right side
    20,016x = 1,853,819,136
  5. Step 5: Solve for x
    x = 1,853,819,136/20,016
  6. Step 6: Final answer
    x = 92,616.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.