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Finding the Third Proportional to 340,606 and 515,626

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Solution

The third proportional to 340,606 and 515,626 is: 780,579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,606 : 515,626 = 515,626 : x
  2. Step 2: Convert to fraction form
    340,606/515,626 = 515,626/x
  3. Step 3: Cross multiply
    340,606x = 515,626 × 515,626
  4. Step 4: Simplify right side
    340,606x = 265,870,171,876
  5. Step 5: Solve for x
    x = 265,870,171,876/340,606
  6. Step 6: Final answer
    x = 780,579.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.