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Finding the Third Proportional to 518,685 and 1,211,493

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Solution

The third proportional to 518,685 and 1,211,493 is: 2,829,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,685 : 1,211,493 = 1,211,493 : x
  2. Step 2: Convert to fraction form
    518,685/1,211,493 = 1,211,493/x
  3. Step 3: Cross multiply
    518,685x = 1,211,493 × 1,211,493
  4. Step 4: Simplify right side
    518,685x = 1,467,715,289,049
  5. Step 5: Solve for x
    x = 1,467,715,289,049/518,685
  6. Step 6: Final answer
    x = 2,829,685.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.