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Finding the Third Proportional to 312,292 and 694,456

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Solution

The third proportional to 312,292 and 694,456 is: 1,544,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,292 : 694,456 = 694,456 : x
  2. Step 2: Convert to fraction form
    312,292/694,456 = 694,456/x
  3. Step 3: Cross multiply
    312,292x = 694,456 × 694,456
  4. Step 4: Simplify right side
    312,292x = 482,269,135,936
  5. Step 5: Solve for x
    x = 482,269,135,936/312,292
  6. Step 6: Final answer
    x = 1,544,289.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.