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Finding the Third Proportional to 177,339.38 and 389,169.56

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Solution

The third proportional to 177,339.38 and 389,169.56 is: 854,028.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,339.38 : 389,169.56 = 389,169.56 : x
  2. Step 2: Convert to fraction form
    177,339.38/389,169.56 = 389,169.56/x
  3. Step 3: Cross multiply
    177,339.38x = 389,169.56 × 389,169.56
  4. Step 4: Simplify right side
    177,339.38x = 151,452,948,376.44
  5. Step 5: Solve for x
    x = 151,452,948,376.44/177,339.38
  6. Step 6: Final answer
    x = 854,028.88

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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.