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Finding the Third Proportional to 180,128 and 394,848

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Solution

The third proportional to 180,128 and 394,848 is: 865,523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,128 : 394,848 = 394,848 : x
  2. Step 2: Convert to fraction form
    180,128/394,848 = 394,848/x
  3. Step 3: Cross multiply
    180,128x = 394,848 × 394,848
  4. Step 4: Simplify right side
    180,128x = 155,904,943,104
  5. Step 5: Solve for x
    x = 155,904,943,104/180,128
  6. Step 6: Final answer
    x = 865,523.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.