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Finding the Third Proportional to 394,259,009 and 612,893,447

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Solution

The third proportional to 394,259,009 and 612,893,447 is: 952,770,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,259,009 : 612,893,447 = 612,893,447 : x
  2. Step 2: Convert to fraction form
    394,259,009/612,893,447 = 612,893,447/x
  3. Step 3: Cross multiply
    394,259,009x = 612,893,447 × 612,893,447
  4. Step 4: Simplify right side
    394,259,009x = 375,638,377,375,541,824
  5. Step 5: Solve for x
    x = 375,638,377,375,541,824/394,259,009
  6. Step 6: Final answer
    x = 952,770,561.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.