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Finding the Third Proportional to 259,920 and 558,517

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Solution

The third proportional to 259,920 and 558,517 is: 1,200,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,920 : 558,517 = 558,517 : x
  2. Step 2: Convert to fraction form
    259,920/558,517 = 558,517/x
  3. Step 3: Cross multiply
    259,920x = 558,517 × 558,517
  4. Step 4: Simplify right side
    259,920x = 311,941,239,289
  5. Step 5: Solve for x
    x = 311,941,239,289/259,920
  6. Step 6: Final answer
    x = 1,200,143.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.