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Finding the Third Proportional to 4,099,869 and 8,972,019

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Solution

The third proportional to 4,099,869 and 8,972,019 is: 19,634,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,869 : 8,972,019 = 8,972,019 : x
  2. Step 2: Convert to fraction form
    4,099,869/8,972,019 = 8,972,019/x
  3. Step 3: Cross multiply
    4,099,869x = 8,972,019 × 8,972,019
  4. Step 4: Simplify right side
    4,099,869x = 80,497,124,936,361
  5. Step 5: Solve for x
    x = 80,497,124,936,361/4,099,869
  6. Step 6: Final answer
    x = 19,634,072.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.