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Finding the Third Proportional to 9,149,814 and 12,198,369

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Solution

The third proportional to 9,149,814 and 12,198,369 is: 16,262,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149,814 : 12,198,369 = 12,198,369 : x
  2. Step 2: Convert to fraction form
    9,149,814/12,198,369 = 12,198,369/x
  3. Step 3: Cross multiply
    9,149,814x = 12,198,369 × 12,198,369
  4. Step 4: Simplify right side
    9,149,814x = 148,800,206,260,161
  5. Step 5: Solve for x
    x = 148,800,206,260,161/9,149,814
  6. Step 6: Final answer
    x = 16,262,648.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.