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Finding the Third Proportional to 387,981 and 582,504

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Solution

The third proportional to 387,981 and 582,504 is: 874,555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,981 : 582,504 = 582,504 : x
  2. Step 2: Convert to fraction form
    387,981/582,504 = 582,504/x
  3. Step 3: Cross multiply
    387,981x = 582,504 × 582,504
  4. Step 4: Simplify right side
    387,981x = 339,310,910,016
  5. Step 5: Solve for x
    x = 339,310,910,016/387,981
  6. Step 6: Final answer
    x = 874,555.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.