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Finding the Third Proportional to 175,539 and 378,129

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Solution

The third proportional to 175,539 and 378,129 is: 814,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,539 : 378,129 = 378,129 : x
  2. Step 2: Convert to fraction form
    175,539/378,129 = 378,129/x
  3. Step 3: Cross multiply
    175,539x = 378,129 × 378,129
  4. Step 4: Simplify right side
    175,539x = 142,981,540,641
  5. Step 5: Solve for x
    x = 142,981,540,641/175,539
  6. Step 6: Final answer
    x = 814,528.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.