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Finding the Third Proportional to 200,285,514 and 422,091,108

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Solution

The third proportional to 200,285,514 and 422,091,108 is: 889,534,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,285,514 : 422,091,108 = 422,091,108 : x
  2. Step 2: Convert to fraction form
    200,285,514/422,091,108 = 422,091,108/x
  3. Step 3: Cross multiply
    200,285,514x = 422,091,108 × 422,091,108
  4. Step 4: Simplify right side
    200,285,514x = 178,160,903,452,667,648
  5. Step 5: Solve for x
    x = 178,160,903,452,667,648/200,285,514
  6. Step 6: Final answer
    x = 889,534,644.29

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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.