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Finding the Third Proportional to 3,669,198 and 7,782,357

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Solution

The third proportional to 3,669,198 and 7,782,357 is: 16,506,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,198 : 7,782,357 = 7,782,357 : x
  2. Step 2: Convert to fraction form
    3,669,198/7,782,357 = 7,782,357/x
  3. Step 3: Cross multiply
    3,669,198x = 7,782,357 × 7,782,357
  4. Step 4: Simplify right side
    3,669,198x = 60,565,080,475,449
  5. Step 5: Solve for x
    x = 60,565,080,475,449/3,669,198
  6. Step 6: Final answer
    x = 16,506,353.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.