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Finding the Third Proportional to 381,995,162 and 818,446,408

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Solution

The third proportional to 381,995,162 and 818,446,408 is: 1,753,568,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,995,162 : 818,446,408 = 818,446,408 : x
  2. Step 2: Convert to fraction form
    381,995,162/818,446,408 = 818,446,408/x
  3. Step 3: Cross multiply
    381,995,162x = 818,446,408 × 818,446,408
  4. Step 4: Simplify right side
    381,995,162x = 669,854,522,768,102,400
  5. Step 5: Solve for x
    x = 669,854,522,768,102,400/381,995,162
  6. Step 6: Final answer
    x = 1,753,568,079.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.