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Finding the Third Proportional to 126,351 and 276,440

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Solution

The third proportional to 126,351 and 276,440 is: 604,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,351 : 276,440 = 276,440 : x
  2. Step 2: Convert to fraction form
    126,351/276,440 = 276,440/x
  3. Step 3: Cross multiply
    126,351x = 276,440 × 276,440
  4. Step 4: Simplify right side
    126,351x = 76,419,073,600
  5. Step 5: Solve for x
    x = 76,419,073,600/126,351
  6. Step 6: Final answer
    x = 604,815.74

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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.