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Finding the Third Proportional to 408,512 and 873,136

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Solution

The third proportional to 408,512 and 873,136 is: 1,866,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,512 : 873,136 = 873,136 : x
  2. Step 2: Convert to fraction form
    408,512/873,136 = 873,136/x
  3. Step 3: Cross multiply
    408,512x = 873,136 × 873,136
  4. Step 4: Simplify right side
    408,512x = 762,366,474,496
  5. Step 5: Solve for x
    x = 762,366,474,496/408,512
  6. Step 6: Final answer
    x = 1,866,203.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.