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Finding the Third Proportional to 204,835 and 419,510

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Solution

The third proportional to 204,835 and 419,510 is: 859,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,835 : 419,510 = 419,510 : x
  2. Step 2: Convert to fraction form
    204,835/419,510 = 419,510/x
  3. Step 3: Cross multiply
    204,835x = 419,510 × 419,510
  4. Step 4: Simplify right side
    204,835x = 175,988,640,100
  5. Step 5: Solve for x
    x = 175,988,640,100/204,835
  6. Step 6: Final answer
    x = 859,172.70

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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.