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Finding the Third Proportional to 9,149,820 and 12,198,378

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Solution

The third proportional to 9,149,820 and 12,198,378 is: 16,262,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149,820 : 12,198,378 = 12,198,378 : x
  2. Step 2: Convert to fraction form
    9,149,820/12,198,378 = 12,198,378/x
  3. Step 3: Cross multiply
    9,149,820x = 12,198,378 × 12,198,378
  4. Step 4: Simplify right side
    9,149,820x = 148,800,425,830,884
  5. Step 5: Solve for x
    x = 148,800,425,830,884/9,149,820
  6. Step 6: Final answer
    x = 16,262,661.54

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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.