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Finding the Third Proportional to 394,249.46 and 617,648.10

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Solution

The third proportional to 394,249.46 and 617,648.10 is: 967,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,249.46 : 617,648.10 = 617,648.10 : x
  2. Step 2: Convert to fraction form
    394,249.46/617,648.10 = 617,648.10/x
  3. Step 3: Cross multiply
    394,249.46x = 617,648.10 × 617,648.10
  4. Step 4: Simplify right side
    394,249.46x = 381,489,172,538.39
  5. Step 5: Solve for x
    x = 381,489,172,538.39/394,249.46
  6. Step 6: Final answer
    x = 967,633.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.