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Finding the Third Proportional to 393,830 and 863,908

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Solution

The third proportional to 393,830 and 863,908 is: 1,895,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,830 : 863,908 = 863,908 : x
  2. Step 2: Convert to fraction form
    393,830/863,908 = 863,908/x
  3. Step 3: Cross multiply
    393,830x = 863,908 × 863,908
  4. Step 4: Simplify right side
    393,830x = 746,337,032,464
  5. Step 5: Solve for x
    x = 746,337,032,464/393,830
  6. Step 6: Final answer
    x = 1,895,074.10

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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.