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Finding the Third Proportional to 394,128 and 611,433

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Solution

The third proportional to 394,128 and 611,433 is: 948,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,128 : 611,433 = 611,433 : x
  2. Step 2: Convert to fraction form
    394,128/611,433 = 611,433/x
  3. Step 3: Cross multiply
    394,128x = 611,433 × 611,433
  4. Step 4: Simplify right side
    394,128x = 373,850,313,489
  5. Step 5: Solve for x
    x = 373,850,313,489/394,128
  6. Step 6: Final answer
    x = 948,550.51

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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.