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Finding the Third Proportional to 394,231.50 and 617,599.50

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Solution

The third proportional to 394,231.50 and 617,599.50 is: 967,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,231.50 : 617,599.50 = 617,599.50 : x
  2. Step 2: Convert to fraction form
    394,231.50/617,599.50 = 617,599.50/x
  3. Step 3: Cross multiply
    394,231.50x = 617,599.50 × 617,599.50
  4. Step 4: Simplify right side
    394,231.50x = 381,429,142,400.25
  5. Step 5: Solve for x
    x = 381,429,142,400.25/394,231.50
  6. Step 6: Final answer
    x = 967,525.79

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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.