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Finding the Third Proportional to 398,580 and 582,542

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Solution

The third proportional to 398,580 and 582,542 is: 851,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,580 : 582,542 = 582,542 : x
  2. Step 2: Convert to fraction form
    398,580/582,542 = 582,542/x
  3. Step 3: Cross multiply
    398,580x = 582,542 × 582,542
  4. Step 4: Simplify right side
    398,580x = 339,355,181,764
  5. Step 5: Solve for x
    x = 339,355,181,764/398,580
  6. Step 6: Final answer
    x = 851,410.46

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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.