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Finding the Third Proportional to 129,972,963 and 285,456,390

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Solution

The third proportional to 129,972,963 and 285,456,390 is: 626,940,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,972,963 : 285,456,390 = 285,456,390 : x
  2. Step 2: Convert to fraction form
    129,972,963/285,456,390 = 285,456,390/x
  3. Step 3: Cross multiply
    129,972,963x = 285,456,390 × 285,456,390
  4. Step 4: Simplify right side
    129,972,963x = 81,485,350,591,832,096
  5. Step 5: Solve for x
    x = 81,485,350,591,832,096/129,972,963
  6. Step 6: Final answer
    x = 626,940,778.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.