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Finding the Third Proportional to 178,800 and 378,336

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Solution

The third proportional to 178,800 and 378,336 is: 800,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,800 : 378,336 = 378,336 : x
  2. Step 2: Convert to fraction form
    178,800/378,336 = 378,336/x
  3. Step 3: Cross multiply
    178,800x = 378,336 × 378,336
  4. Step 4: Simplify right side
    178,800x = 143,138,128,896
  5. Step 5: Solve for x
    x = 143,138,128,896/178,800
  6. Step 6: Final answer
    x = 800,548.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.