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Finding the Third Proportional to 393,667 and 863,604

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Solution

The third proportional to 393,667 and 863,604 is: 1,894,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,667 : 863,604 = 863,604 : x
  2. Step 2: Convert to fraction form
    393,667/863,604 = 863,604/x
  3. Step 3: Cross multiply
    393,667x = 863,604 × 863,604
  4. Step 4: Simplify right side
    393,667x = 745,811,868,816
  5. Step 5: Solve for x
    x = 745,811,868,816/393,667
  6. Step 6: Final answer
    x = 1,894,524.73

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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.