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Finding the Third Proportional to 394,454.81 and 851,990.91

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Solution

The third proportional to 394,454.81 and 851,990.91 is: 1,840,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,454.81 : 851,990.91 = 851,990.91 : x
  2. Step 2: Convert to fraction form
    394,454.81/851,990.91 = 851,990.91/x
  3. Step 3: Cross multiply
    394,454.81x = 851,990.91 × 851,990.91
  4. Step 4: Simplify right side
    394,454.81x = 725,888,504,332.70
  5. Step 5: Solve for x
    x = 725,888,504,332.70/394,454.81
  6. Step 6: Final answer
    x = 1,840,232.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.