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Finding the Third Proportional to 126,450 and 270,940

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Solution

The third proportional to 126,450 and 270,940 is: 580,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,450 : 270,940 = 270,940 : x
  2. Step 2: Convert to fraction form
    126,450/270,940 = 270,940/x
  3. Step 3: Cross multiply
    126,450x = 270,940 × 270,940
  4. Step 4: Simplify right side
    126,450x = 73,408,483,600
  5. Step 5: Solve for x
    x = 73,408,483,600/126,450
  6. Step 6: Final answer
    x = 580,533.68

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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.