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Finding the Third Proportional to 126,756 and 177,217

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Solution

The third proportional to 126,756 and 177,217 is: 247,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,756 : 177,217 = 177,217 : x
  2. Step 2: Convert to fraction form
    126,756/177,217 = 177,217/x
  3. Step 3: Cross multiply
    126,756x = 177,217 × 177,217
  4. Step 4: Simplify right side
    126,756x = 31,405,865,089
  5. Step 5: Solve for x
    x = 31,405,865,089/126,756
  6. Step 6: Final answer
    x = 247,766.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.