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Finding the Third Proportional to 381,420 and 839,012

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Solution

The third proportional to 381,420 and 839,012 is: 1,845,580.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,420 : 839,012 = 839,012 : x
  2. Step 2: Convert to fraction form
    381,420/839,012 = 839,012/x
  3. Step 3: Cross multiply
    381,420x = 839,012 × 839,012
  4. Step 4: Simplify right side
    381,420x = 703,941,136,144
  5. Step 5: Solve for x
    x = 703,941,136,144/381,420
  6. Step 6: Final answer
    x = 1,845,580.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.