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Finding the Third Proportional to 387,966 and 582,472

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Solution

The third proportional to 387,966 and 582,472 is: 874,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,966 : 582,472 = 582,472 : x
  2. Step 2: Convert to fraction form
    387,966/582,472 = 582,472/x
  3. Step 3: Cross multiply
    387,966x = 582,472 × 582,472
  4. Step 4: Simplify right side
    387,966x = 339,273,630,784
  5. Step 5: Solve for x
    x = 339,273,630,784/387,966
  6. Step 6: Final answer
    x = 874,493.21

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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.