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Finding the Third Proportional to 181,136,318 and 397,857,384

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Solution

The third proportional to 181,136,318 and 397,857,384 is: 873,874,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,136,318 : 397,857,384 = 397,857,384 : x
  2. Step 2: Convert to fraction form
    181,136,318/397,857,384 = 397,857,384/x
  3. Step 3: Cross multiply
    181,136,318x = 397,857,384 × 397,857,384
  4. Step 4: Simplify right side
    181,136,318x = 158,290,498,003,323,456
  5. Step 5: Solve for x
    x = 158,290,498,003,323,456/181,136,318
  6. Step 6: Final answer
    x = 873,874,989.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.