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Finding the Third Proportional to 2,100,098 and 3,149,463

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Solution

The third proportional to 2,100,098 and 3,149,463 is: 4,723,168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,098 : 3,149,463 = 3,149,463 : x
  2. Step 2: Convert to fraction form
    2,100,098/3,149,463 = 3,149,463/x
  3. Step 3: Cross multiply
    2,100,098x = 3,149,463 × 3,149,463
  4. Step 4: Simplify right side
    2,100,098x = 9,919,117,188,369
  5. Step 5: Solve for x
    x = 9,919,117,188,369/2,100,098
  6. Step 6: Final answer
    x = 4,723,168.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.