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Finding the Third Proportional to 394,700 and 864,517

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Solution

The third proportional to 394,700 and 864,517 is: 1,893,563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,700 : 864,517 = 864,517 : x
  2. Step 2: Convert to fraction form
    394,700/864,517 = 864,517/x
  3. Step 3: Cross multiply
    394,700x = 864,517 × 864,517
  4. Step 4: Simplify right side
    394,700x = 747,389,643,289
  5. Step 5: Solve for x
    x = 747,389,643,289/394,700
  6. Step 6: Final answer
    x = 1,893,563.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.