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Finding the Third Proportional to 290,906,142 and 627,958,848

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Solution

The third proportional to 290,906,142 and 627,958,848 is: 1,355,531,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,906,142 : 627,958,848 = 627,958,848 : x
  2. Step 2: Convert to fraction form
    290,906,142/627,958,848 = 627,958,848/x
  3. Step 3: Cross multiply
    290,906,142x = 627,958,848 × 627,958,848
  4. Step 4: Simplify right side
    290,906,142x = 394,332,314,781,487,104
  5. Step 5: Solve for x
    x = 394,332,314,781,487,104/290,906,142
  6. Step 6: Final answer
    x = 1,355,531,072.91

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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.