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Finding the Third Proportional to 126,138 and 275,958

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Solution

The third proportional to 126,138 and 275,958 is: 603,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,138 : 275,958 = 275,958 : x
  2. Step 2: Convert to fraction form
    126,138/275,958 = 275,958/x
  3. Step 3: Cross multiply
    126,138x = 275,958 × 275,958
  4. Step 4: Simplify right side
    126,138x = 76,152,817,764
  5. Step 5: Solve for x
    x = 76,152,817,764/126,138
  6. Step 6: Final answer
    x = 603,726.22

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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.