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Finding the Third Proportional to 177,730 and 394,825

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Solution

The third proportional to 177,730 and 394,825 is: 877,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,730 : 394,825 = 394,825 : x
  2. Step 2: Convert to fraction form
    177,730/394,825 = 394,825/x
  3. Step 3: Cross multiply
    177,730x = 394,825 × 394,825
  4. Step 4: Simplify right side
    177,730x = 155,886,780,625
  5. Step 5: Solve for x
    x = 155,886,780,625/177,730
  6. Step 6: Final answer
    x = 877,098.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.