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Finding the Third Proportional to 398,938 and 582,977

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Solution

The third proportional to 398,938 and 582,977 is: 851,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,938 : 582,977 = 582,977 : x
  2. Step 2: Convert to fraction form
    398,938/582,977 = 582,977/x
  3. Step 3: Cross multiply
    398,938x = 582,977 × 582,977
  4. Step 4: Simplify right side
    398,938x = 339,862,182,529
  5. Step 5: Solve for x
    x = 339,862,182,529/398,938
  6. Step 6: Final answer
    x = 851,917.30

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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.