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Finding the Third Proportional to 126,105 and 276,780

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Solution

The third proportional to 126,105 and 276,780 is: 607,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,105 : 276,780 = 276,780 : x
  2. Step 2: Convert to fraction form
    126,105/276,780 = 276,780/x
  3. Step 3: Cross multiply
    126,105x = 276,780 × 276,780
  4. Step 4: Simplify right side
    126,105x = 76,607,168,400
  5. Step 5: Solve for x
    x = 76,607,168,400/126,105
  6. Step 6: Final answer
    x = 607,487.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.