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Finding the Third Proportional to 87,108 and 190,815

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Solution

The third proportional to 87,108 and 190,815 is: 417,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,108 : 190,815 = 190,815 : x
  2. Step 2: Convert to fraction form
    87,108/190,815 = 190,815/x
  3. Step 3: Cross multiply
    87,108x = 190,815 × 190,815
  4. Step 4: Simplify right side
    87,108x = 36,410,364,225
  5. Step 5: Solve for x
    x = 36,410,364,225/87,108
  6. Step 6: Final answer
    x = 417,991.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.