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Finding the Third Proportional to 18,997 and 41,213

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Solution

The third proportional to 18,997 and 41,213 is: 89,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,997 : 41,213 = 41,213 : x
  2. Step 2: Convert to fraction form
    18,997/41,213 = 41,213/x
  3. Step 3: Cross multiply
    18,997x = 41,213 × 41,213
  4. Step 4: Simplify right side
    18,997x = 1,698,511,369
  5. Step 5: Solve for x
    x = 1,698,511,369/18,997
  6. Step 6: Final answer
    x = 89,409.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.