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Finding the Third Proportional to 102,814,443 and 222,557,238

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Solution

The third proportional to 102,814,443 and 222,557,238 is: 481,758,425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,814,443 : 222,557,238 = 222,557,238 : x
  2. Step 2: Convert to fraction form
    102,814,443/222,557,238 = 222,557,238/x
  3. Step 3: Cross multiply
    102,814,443x = 222,557,238 × 222,557,238
  4. Step 4: Simplify right side
    102,814,443x = 49,531,724,186,188,640
  5. Step 5: Solve for x
    x = 49,531,724,186,188,640/102,814,443
  6. Step 6: Final answer
    x = 481,758,425.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.