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Finding the Third Proportional to 87,305 and 190,606

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Solution

The third proportional to 87,305 and 190,606 is: 416,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,305 : 190,606 = 190,606 : x
  2. Step 2: Convert to fraction form
    87,305/190,606 = 190,606/x
  3. Step 3: Cross multiply
    87,305x = 190,606 × 190,606
  4. Step 4: Simplify right side
    87,305x = 36,330,647,236
  5. Step 5: Solve for x
    x = 36,330,647,236/87,305
  6. Step 6: Final answer
    x = 416,134.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.