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Finding the Third Proportional to 126,405 and 270,802

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Solution

The third proportional to 126,405 and 270,802 is: 580,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,405 : 270,802 = 270,802 : x
  2. Step 2: Convert to fraction form
    126,405/270,802 = 270,802/x
  3. Step 3: Cross multiply
    126,405x = 270,802 × 270,802
  4. Step 4: Simplify right side
    126,405x = 73,333,723,204
  5. Step 5: Solve for x
    x = 73,333,723,204/126,405
  6. Step 6: Final answer
    x = 580,148.91

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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.