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Finding the Third Proportional to 126,412 and 270,815

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Solution

The third proportional to 126,412 and 270,815 is: 580,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,412 : 270,815 = 270,815 : x
  2. Step 2: Convert to fraction form
    126,412/270,815 = 270,815/x
  3. Step 3: Cross multiply
    126,412x = 270,815 × 270,815
  4. Step 4: Simplify right side
    126,412x = 73,340,764,225
  5. Step 5: Solve for x
    x = 73,340,764,225/126,412
  6. Step 6: Final answer
    x = 580,172.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.