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Finding the Third Proportional to 515,640 and 796,794

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Solution

The third proportional to 515,640 and 796,794 is: 1,231,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,640 : 796,794 = 796,794 : x
  2. Step 2: Convert to fraction form
    515,640/796,794 = 796,794/x
  3. Step 3: Cross multiply
    515,640x = 796,794 × 796,794
  4. Step 4: Simplify right side
    515,640x = 634,880,678,436
  5. Step 5: Solve for x
    x = 634,880,678,436/515,640
  6. Step 6: Final answer
    x = 1,231,247.92

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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.