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Finding the Third Proportional to 393,399 and 844,136

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Solution

The third proportional to 393,399 and 844,136 is: 1,811,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,399 : 844,136 = 844,136 : x
  2. Step 2: Convert to fraction form
    393,399/844,136 = 844,136/x
  3. Step 3: Cross multiply
    393,399x = 844,136 × 844,136
  4. Step 4: Simplify right side
    393,399x = 712,565,586,496
  5. Step 5: Solve for x
    x = 712,565,586,496/393,399
  6. Step 6: Final answer
    x = 1,811,305.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.