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Finding the Third Proportional to 126,619 and 276,763

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Solution

The third proportional to 126,619 and 276,763 is: 604,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,619 : 276,763 = 276,763 : x
  2. Step 2: Convert to fraction form
    126,619/276,763 = 276,763/x
  3. Step 3: Cross multiply
    126,619x = 276,763 × 276,763
  4. Step 4: Simplify right side
    126,619x = 76,597,758,169
  5. Step 5: Solve for x
    x = 76,597,758,169/126,619
  6. Step 6: Final answer
    x = 604,946.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.