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Finding the Third Proportional to 366,448 and 582,920

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Solution

The third proportional to 366,448 and 582,920 is: 927,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,448 : 582,920 = 582,920 : x
  2. Step 2: Convert to fraction form
    366,448/582,920 = 582,920/x
  3. Step 3: Cross multiply
    366,448x = 582,920 × 582,920
  4. Step 4: Simplify right side
    366,448x = 339,795,726,400
  5. Step 5: Solve for x
    x = 339,795,726,400/366,448
  6. Step 6: Final answer
    x = 927,268.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.