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Finding the Third Proportional to 18,991 and 41,222

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Solution

The third proportional to 18,991 and 41,222 is: 89,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,991 : 41,222 = 41,222 : x
  2. Step 2: Convert to fraction form
    18,991/41,222 = 41,222/x
  3. Step 3: Cross multiply
    18,991x = 41,222 × 41,222
  4. Step 4: Simplify right side
    18,991x = 1,699,253,284
  5. Step 5: Solve for x
    x = 1,699,253,284/18,991
  6. Step 6: Final answer
    x = 89,476.77

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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.