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Finding the Third Proportional to 181,320 and 394,899

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Solution

The third proportional to 181,320 and 394,899 is: 860,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,320 : 394,899 = 394,899 : x
  2. Step 2: Convert to fraction form
    181,320/394,899 = 394,899/x
  3. Step 3: Cross multiply
    181,320x = 394,899 × 394,899
  4. Step 4: Simplify right side
    181,320x = 155,945,220,201
  5. Step 5: Solve for x
    x = 155,945,220,201/181,320
  6. Step 6: Final answer
    x = 860,055.26

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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.