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Finding the Third Proportional to 126,828 and 299,937

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Solution

The third proportional to 126,828 and 299,937 is: 709,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,828 : 299,937 = 299,937 : x
  2. Step 2: Convert to fraction form
    126,828/299,937 = 299,937/x
  3. Step 3: Cross multiply
    126,828x = 299,937 × 299,937
  4. Step 4: Simplify right side
    126,828x = 89,962,203,969
  5. Step 5: Solve for x
    x = 89,962,203,969/126,828
  6. Step 6: Final answer
    x = 709,324.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.