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Finding the Third Proportional to 126,108 and 276,786

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Solution

The third proportional to 126,108 and 276,786 is: 607,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,108 : 276,786 = 276,786 : x
  2. Step 2: Convert to fraction form
    126,108/276,786 = 276,786/x
  3. Step 3: Cross multiply
    126,108x = 276,786 × 276,786
  4. Step 4: Simplify right side
    126,108x = 76,610,489,796
  5. Step 5: Solve for x
    x = 76,610,489,796/126,108
  6. Step 6: Final answer
    x = 607,499.05

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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.