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Finding the Third Proportional to 126,261 and 276,273

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Solution

The third proportional to 126,261 and 276,273 is: 604,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,261 : 276,273 = 276,273 : x
  2. Step 2: Convert to fraction form
    126,261/276,273 = 276,273/x
  3. Step 3: Cross multiply
    126,261x = 276,273 × 276,273
  4. Step 4: Simplify right side
    126,261x = 76,326,770,529
  5. Step 5: Solve for x
    x = 76,326,770,529/126,261
  6. Step 6: Final answer
    x = 604,515.81

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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.