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Finding the Third Proportional to 394,380 and 849,816

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Solution

The third proportional to 394,380 and 849,816 is: 1,831,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,380 : 849,816 = 849,816 : x
  2. Step 2: Convert to fraction form
    394,380/849,816 = 849,816/x
  3. Step 3: Cross multiply
    394,380x = 849,816 × 849,816
  4. Step 4: Simplify right side
    394,380x = 722,187,233,856
  5. Step 5: Solve for x
    x = 722,187,233,856/394,380
  6. Step 6: Final answer
    x = 1,831,196.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.