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Finding the Third Proportional to 394,083.75 and 611,456.25

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Solution

The third proportional to 394,083.75 and 611,456.25 is: 948,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,083.75 : 611,456.25 = 611,456.25 : x
  2. Step 2: Convert to fraction form
    394,083.75/611,456.25 = 611,456.25/x
  3. Step 3: Cross multiply
    394,083.75x = 611,456.25 × 611,456.25
  4. Step 4: Simplify right side
    394,083.75x = 373,878,745,664.06
  5. Step 5: Solve for x
    x = 373,878,745,664.06/394,083.75
  6. Step 6: Final answer
    x = 948,729.16

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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.