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Finding the Third Proportional to 247,758 and 543,636

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Solution

The third proportional to 247,758 and 543,636 is: 1,192,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,758 : 543,636 = 543,636 : x
  2. Step 2: Convert to fraction form
    247,758/543,636 = 543,636/x
  3. Step 3: Cross multiply
    247,758x = 543,636 × 543,636
  4. Step 4: Simplify right side
    247,758x = 295,540,100,496
  5. Step 5: Solve for x
    x = 295,540,100,496/247,758
  6. Step 6: Final answer
    x = 1,192,857.95

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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.