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Finding the Third Proportional to 204,673 and 419,480

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Solution

The third proportional to 204,673 and 419,480 is: 859,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,673 : 419,480 = 419,480 : x
  2. Step 2: Convert to fraction form
    204,673/419,480 = 419,480/x
  3. Step 3: Cross multiply
    204,673x = 419,480 × 419,480
  4. Step 4: Simplify right side
    204,673x = 175,963,470,400
  5. Step 5: Solve for x
    x = 175,963,470,400/204,673
  6. Step 6: Final answer
    x = 859,729.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.