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Finding the Third Proportional to 678,231,458.82 and 1,469,163,997.13

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Solution

The third proportional to 678,231,458.82 and 1,469,163,997.13 is: 3,182,457,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,231,458.82 : 1,469,163,997.13 = 1,469,163,997.13 : x
  2. Step 2: Convert to fraction form
    678,231,458.82/1,469,163,997.13 = 1,469,163,997.13/x
  3. Step 3: Cross multiply
    678,231,458.82x = 1,469,163,997.13 × 1,469,163,997.13
  4. Step 4: Simplify right side
    678,231,458.82x = 2,158,442,850,448,306,944
  5. Step 5: Solve for x
    x = 2,158,442,850,448,306,944/678,231,458.82
  6. Step 6: Final answer
    x = 3,182,457,584.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.