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Finding the Third Proportional to 394,091 and 611,467

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Solution

The third proportional to 394,091 and 611,467 is: 948,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,091 : 611,467 = 611,467 : x
  2. Step 2: Convert to fraction form
    394,091/611,467 = 611,467/x
  3. Step 3: Cross multiply
    394,091x = 611,467 × 611,467
  4. Step 4: Simplify right side
    394,091x = 373,891,892,089
  5. Step 5: Solve for x
    x = 373,891,892,089/394,091
  6. Step 6: Final answer
    x = 948,745.07

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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.