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Finding the Third Proportional to 260,038 and 558,874

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Solution

The third proportional to 260,038 and 558,874 is: 1,201,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038 : 558,874 = 558,874 : x
  2. Step 2: Convert to fraction form
    260,038/558,874 = 558,874/x
  3. Step 3: Cross multiply
    260,038x = 558,874 × 558,874
  4. Step 4: Simplify right side
    260,038x = 312,340,147,876
  5. Step 5: Solve for x
    x = 312,340,147,876/260,038
  6. Step 6: Final answer
    x = 1,201,132.71

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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.