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Finding the Third Proportional to 200,285,469 and 422,091,018

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Solution

The third proportional to 200,285,469 and 422,091,018 is: 889,534,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,285,469 : 422,091,018 = 422,091,018 : x
  2. Step 2: Convert to fraction form
    200,285,469/422,091,018 = 422,091,018/x
  3. Step 3: Cross multiply
    200,285,469x = 422,091,018 × 422,091,018
  4. Step 4: Simplify right side
    200,285,469x = 178,160,827,476,276,320
  5. Step 5: Solve for x
    x = 178,160,827,476,276,320/200,285,469
  6. Step 6: Final answer
    x = 889,534,464.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.