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Finding the Third Proportional to 204,468,997.50 and 440,115,867

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Solution

The third proportional to 204,468,997.50 and 440,115,867 is: 947,341,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,468,997.50 : 440,115,867 = 440,115,867 : x
  2. Step 2: Convert to fraction form
    204,468,997.50/440,115,867 = 440,115,867/x
  3. Step 3: Cross multiply
    204,468,997.50x = 440,115,867 × 440,115,867
  4. Step 4: Simplify right side
    204,468,997.50x = 193,701,976,385,161,696
  5. Step 5: Solve for x
    x = 193,701,976,385,161,696/204,468,997.50
  6. Step 6: Final answer
    x = 947,341,546.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.