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Finding the Third Proportional to 398,936 and 582,974

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Solution

The third proportional to 398,936 and 582,974 is: 851,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,936 : 582,974 = 582,974 : x
  2. Step 2: Convert to fraction form
    398,936/582,974 = 582,974/x
  3. Step 3: Cross multiply
    398,936x = 582,974 × 582,974
  4. Step 4: Simplify right side
    398,936x = 339,858,684,676
  5. Step 5: Solve for x
    x = 339,858,684,676/398,936
  6. Step 6: Final answer
    x = 851,912.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.