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Finding the Third Proportional to 276,344 and 426,728

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Solution

The third proportional to 276,344 and 426,728 is: 658,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,344 : 426,728 = 426,728 : x
  2. Step 2: Convert to fraction form
    276,344/426,728 = 426,728/x
  3. Step 3: Cross multiply
    276,344x = 426,728 × 426,728
  4. Step 4: Simplify right side
    276,344x = 182,096,785,984
  5. Step 5: Solve for x
    x = 182,096,785,984/276,344
  6. Step 6: Final answer
    x = 658,949.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.