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Finding the Third Proportional to 126,415 and 270,822

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Solution

The third proportional to 126,415 and 270,822 is: 580,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,415 : 270,822 = 270,822 : x
  2. Step 2: Convert to fraction form
    126,415/270,822 = 270,822/x
  3. Step 3: Cross multiply
    126,415x = 270,822 × 270,822
  4. Step 4: Simplify right side
    126,415x = 73,344,555,684
  5. Step 5: Solve for x
    x = 73,344,555,684/126,415
  6. Step 6: Final answer
    x = 580,188.71

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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.