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Finding the Third Proportional to 2,472,867 and 5,211,415

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Solution

The third proportional to 2,472,867 and 5,211,415 is: 10,982,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,867 : 5,211,415 = 5,211,415 : x
  2. Step 2: Convert to fraction form
    2,472,867/5,211,415 = 5,211,415/x
  3. Step 3: Cross multiply
    2,472,867x = 5,211,415 × 5,211,415
  4. Step 4: Simplify right side
    2,472,867x = 27,158,846,302,225
  5. Step 5: Solve for x
    x = 27,158,846,302,225/2,472,867
  6. Step 6: Final answer
    x = 10,982,736.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.