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Finding the Third Proportional to 205,541,682 and 485,057,486

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Solution

The third proportional to 205,541,682 and 485,057,486 is: 1,144,686,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,541,682 : 485,057,486 = 485,057,486 : x
  2. Step 2: Convert to fraction form
    205,541,682/485,057,486 = 485,057,486/x
  3. Step 3: Cross multiply
    205,541,682x = 485,057,486 × 485,057,486
  4. Step 4: Simplify right side
    205,541,682x = 235,280,764,724,640,192
  5. Step 5: Solve for x
    x = 235,280,764,724,640,192/205,541,682
  6. Step 6: Final answer
    x = 1,144,686,383.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.