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Finding the Third Proportional to 515,648 and 796,806

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Solution

The third proportional to 515,648 and 796,806 is: 1,231,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,648 : 796,806 = 796,806 : x
  2. Step 2: Convert to fraction form
    515,648/796,806 = 796,806/x
  3. Step 3: Cross multiply
    515,648x = 796,806 × 796,806
  4. Step 4: Simplify right side
    515,648x = 634,899,801,636
  5. Step 5: Solve for x
    x = 634,899,801,636/515,648
  6. Step 6: Final answer
    x = 1,231,265.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.