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Finding the Third Proportional to 102,814,444 and 222,557,239

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Solution

The third proportional to 102,814,444 and 222,557,239 is: 481,758,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,814,444 : 222,557,239 = 222,557,239 : x
  2. Step 2: Convert to fraction form
    102,814,444/222,557,239 = 222,557,239/x
  3. Step 3: Cross multiply
    102,814,444x = 222,557,239 × 222,557,239
  4. Step 4: Simplify right side
    102,814,444x = 49,531,724,631,303,120
  5. Step 5: Solve for x
    x = 49,531,724,631,303,120/102,814,444
  6. Step 6: Final answer
    x = 481,758,425.22

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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.