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Finding the Third Proportional to 204,468 and 419,136

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Solution

The third proportional to 204,468 and 419,136 is: 859,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,468 : 419,136 = 419,136 : x
  2. Step 2: Convert to fraction form
    204,468/419,136 = 419,136/x
  3. Step 3: Cross multiply
    204,468x = 419,136 × 419,136
  4. Step 4: Simplify right side
    204,468x = 175,674,986,496
  5. Step 5: Solve for x
    x = 175,674,986,496/204,468
  6. Step 6: Final answer
    x = 859,180.83

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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.