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Finding the Third Proportional to 398,927 and 582,960

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Solution

The third proportional to 398,927 and 582,960 is: 851,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,927 : 582,960 = 582,960 : x
  2. Step 2: Convert to fraction form
    398,927/582,960 = 582,960/x
  3. Step 3: Cross multiply
    398,927x = 582,960 × 582,960
  4. Step 4: Simplify right side
    398,927x = 339,842,361,600
  5. Step 5: Solve for x
    x = 339,842,361,600/398,927
  6. Step 6: Final answer
    x = 851,891.10

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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.