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Finding the Third Proportional to 180,980 and 394,084

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Solution

The third proportional to 180,980 and 394,084 is: 858,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,980 : 394,084 = 394,084 : x
  2. Step 2: Convert to fraction form
    180,980/394,084 = 394,084/x
  3. Step 3: Cross multiply
    180,980x = 394,084 × 394,084
  4. Step 4: Simplify right side
    180,980x = 155,302,199,056
  5. Step 5: Solve for x
    x = 155,302,199,056/180,980
  6. Step 6: Final answer
    x = 858,118.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.