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Finding the Third Proportional to 260,039 and 558,876

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Solution

The third proportional to 260,039 and 558,876 is: 1,201,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,039 : 558,876 = 558,876 : x
  2. Step 2: Convert to fraction form
    260,039/558,876 = 558,876/x
  3. Step 3: Cross multiply
    260,039x = 558,876 × 558,876
  4. Step 4: Simplify right side
    260,039x = 312,342,383,376
  5. Step 5: Solve for x
    x = 312,342,383,376/260,039
  6. Step 6: Final answer
    x = 1,201,136.69

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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.