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Finding the Third Proportional to 181,136,308.22 and 397,857,361.78

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Solution

The third proportional to 181,136,308.22 and 397,857,361.78 is: 873,874,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,136,308.22 : 397,857,361.78 = 397,857,361.78 : x
  2. Step 2: Convert to fraction form
    181,136,308.22/397,857,361.78 = 397,857,361.78/x
  3. Step 3: Cross multiply
    181,136,308.22x = 397,857,361.78 × 397,857,361.78
  4. Step 4: Simplify right side
    181,136,308.22x = 158,290,480,323,536,448
  5. Step 5: Solve for x
    x = 158,290,480,323,536,448/181,136,308.22
  6. Step 6: Final answer
    x = 873,874,939.16

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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.