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Finding the Third Proportional to 80,828 and 178,498

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Solution

The third proportional to 80,828 and 178,498 is: 394,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,828 : 178,498 = 178,498 : x
  2. Step 2: Convert to fraction form
    80,828/178,498 = 178,498/x
  3. Step 3: Cross multiply
    80,828x = 178,498 × 178,498
  4. Step 4: Simplify right side
    80,828x = 31,861,536,004
  5. Step 5: Solve for x
    x = 31,861,536,004/80,828
  6. Step 6: Final answer
    x = 394,189.34

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.