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Finding the Third Proportional to 394,432 and 863,485

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Solution

The third proportional to 394,432 and 863,485 is: 1,890,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,432 : 863,485 = 863,485 : x
  2. Step 2: Convert to fraction form
    394,432/863,485 = 863,485/x
  3. Step 3: Cross multiply
    394,432x = 863,485 × 863,485
  4. Step 4: Simplify right side
    394,432x = 745,606,345,225
  5. Step 5: Solve for x
    x = 745,606,345,225/394,432
  6. Step 6: Final answer
    x = 1,890,329.25

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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.