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Finding the Third Proportional to 2,410,293 and 3,198,815.50

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Solution

The third proportional to 2,410,293 and 3,198,815.50 is: 4,245,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410,293 : 3,198,815.50 = 3,198,815.50 : x
  2. Step 2: Convert to fraction form
    2,410,293/3,198,815.50 = 3,198,815.50/x
  3. Step 3: Cross multiply
    2,410,293x = 3,198,815.50 × 3,198,815.50
  4. Step 4: Simplify right side
    2,410,293x = 10,232,420,603,040.25
  5. Step 5: Solve for x
    x = 10,232,420,603,040.25/2,410,293
  6. Step 6: Final answer
    x = 4,245,301.55

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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.