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Finding the Third Proportional to 90,860,138 and 198,372,100

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Solution

The third proportional to 90,860,138 and 198,372,100 is: 433,099,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,860,138 : 198,372,100 = 198,372,100 : x
  2. Step 2: Convert to fraction form
    90,860,138/198,372,100 = 198,372,100/x
  3. Step 3: Cross multiply
    90,860,138x = 198,372,100 × 198,372,100
  4. Step 4: Simplify right side
    90,860,138x = 39,351,490,058,410,000
  5. Step 5: Solve for x
    x = 39,351,490,058,410,000/90,860,138
  6. Step 6: Final answer
    x = 433,099,606.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.