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Finding the Third Proportional to 19,997 and 43,021

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Solution

The third proportional to 19,997 and 43,021 is: 92,554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997 : 43,021 = 43,021 : x
  2. Step 2: Convert to fraction form
    19,997/43,021 = 43,021/x
  3. Step 3: Cross multiply
    19,997x = 43,021 × 43,021
  4. Step 4: Simplify right side
    19,997x = 1,850,806,441
  5. Step 5: Solve for x
    x = 1,850,806,441/19,997
  6. Step 6: Final answer
    x = 92,554.21

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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.