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Finding the Third Proportional to 87,108.75 and 190,816.50

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Solution

The third proportional to 87,108.75 and 190,816.50 is: 417,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,108.75 : 190,816.50 = 190,816.50 : x
  2. Step 2: Convert to fraction form
    87,108.75/190,816.50 = 190,816.50/x
  3. Step 3: Cross multiply
    87,108.75x = 190,816.50 × 190,816.50
  4. Step 4: Simplify right side
    87,108.75x = 36,410,936,672.25
  5. Step 5: Solve for x
    x = 36,410,936,672.25/87,108.75
  6. Step 6: Final answer
    x = 417,994.02

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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.