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Finding the Third Proportional to 126,780 and 177,236

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Solution

The third proportional to 126,780 and 177,236 is: 247,772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,780 : 177,236 = 177,236 : x
  2. Step 2: Convert to fraction form
    126,780/177,236 = 177,236/x
  3. Step 3: Cross multiply
    126,780x = 177,236 × 177,236
  4. Step 4: Simplify right side
    126,780x = 31,412,599,696
  5. Step 5: Solve for x
    x = 31,412,599,696/126,780
  6. Step 6: Final answer
    x = 247,772.52

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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.