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Finding the Third Proportional to 394,344 and 611,916

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Solution

The third proportional to 394,344 and 611,916 is: 949,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,344 : 611,916 = 611,916 : x
  2. Step 2: Convert to fraction form
    394,344/611,916 = 611,916/x
  3. Step 3: Cross multiply
    394,344x = 611,916 × 611,916
  4. Step 4: Simplify right side
    394,344x = 374,441,191,056
  5. Step 5: Solve for x
    x = 374,441,191,056/394,344
  6. Step 6: Final answer
    x = 949,529.32

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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.