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Finding the Third Proportional to 87,121 and 188,994

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Solution

The third proportional to 87,121 and 188,994 is: 409,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,121 : 188,994 = 188,994 : x
  2. Step 2: Convert to fraction form
    87,121/188,994 = 188,994/x
  3. Step 3: Cross multiply
    87,121x = 188,994 × 188,994
  4. Step 4: Simplify right side
    87,121x = 35,718,732,036
  5. Step 5: Solve for x
    x = 35,718,732,036/87,121
  6. Step 6: Final answer
    x = 409,989.92

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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.