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Finding the Third Proportional to 84,771,936 and 188,729,856

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Solution

The third proportional to 84,771,936 and 188,729,856 is: 420,173,942.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,771,936 : 188,729,856 = 188,729,856 : x
  2. Step 2: Convert to fraction form
    84,771,936/188,729,856 = 188,729,856/x
  3. Step 3: Cross multiply
    84,771,936x = 188,729,856 × 188,729,856
  4. Step 4: Simplify right side
    84,771,936x = 35,618,958,545,780,736
  5. Step 5: Solve for x
    x = 35,618,958,545,780,736/84,771,936
  6. Step 6: Final answer
    x = 420,173,942.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.