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Finding the Third Proportional to 196,817,812 and 422,843,917

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Solution

The third proportional to 196,817,812 and 422,843,917 is: 908,439,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,817,812 : 422,843,917 = 422,843,917 : x
  2. Step 2: Convert to fraction form
    196,817,812/422,843,917 = 422,843,917/x
  3. Step 3: Cross multiply
    196,817,812x = 422,843,917 × 422,843,917
  4. Step 4: Simplify right side
    196,817,812x = 178,796,978,143,902,880
  5. Step 5: Solve for x
    x = 178,796,978,143,902,880/196,817,812
  6. Step 6: Final answer
    x = 908,439,009.29

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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.