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Finding the Third Proportional to 126,144 and 276,480

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Solution

The third proportional to 126,144 and 276,480 is: 605,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,144 : 276,480 = 276,480 : x
  2. Step 2: Convert to fraction form
    126,144/276,480 = 276,480/x
  3. Step 3: Cross multiply
    126,144x = 276,480 × 276,480
  4. Step 4: Simplify right side
    126,144x = 76,441,190,400
  5. Step 5: Solve for x
    x = 76,441,190,400/126,144
  6. Step 6: Final answer
    x = 605,983.56

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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.