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Finding the Third Proportional to 245,691 and 517,626

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Solution

The third proportional to 245,691 and 517,626 is: 1,090,543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,691 : 517,626 = 517,626 : x
  2. Step 2: Convert to fraction form
    245,691/517,626 = 517,626/x
  3. Step 3: Cross multiply
    245,691x = 517,626 × 517,626
  4. Step 4: Simplify right side
    245,691x = 267,936,675,876
  5. Step 5: Solve for x
    x = 267,936,675,876/245,691
  6. Step 6: Final answer
    x = 1,090,543.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.