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Finding the Third Proportional to 72,571,691,976 and 100,905,136,812

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Solution

The third proportional to 72,571,691,976 and 100,905,136,812 is: 140,300,527,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,571,691,976 : 100,905,136,812 = 100,905,136,812 : x
  2. Step 2: Convert to fraction form
    72,571,691,976/100,905,136,812 = 100,905,136,812/x
  3. Step 3: Cross multiply
    72,571,691,976x = 100,905,136,812 × 100,905,136,812
  4. Step 4: Simplify right side
    72,571,691,976x = 10,181,846,635,048,438,071,296
  5. Step 5: Solve for x
    x = 10,181,846,635,048,438,071,296/72,571,691,976
  6. Step 6: Final answer
    x = 140,300,527,076.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.