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Finding the Third Proportional to 393,930 and 864,108

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Solution

The third proportional to 393,930 and 864,108 is: 1,895,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,930 : 864,108 = 864,108 : x
  2. Step 2: Convert to fraction form
    393,930/864,108 = 864,108/x
  3. Step 3: Cross multiply
    393,930x = 864,108 × 864,108
  4. Step 4: Simplify right side
    393,930x = 746,682,635,664
  5. Step 5: Solve for x
    x = 746,682,635,664/393,930
  6. Step 6: Final answer
    x = 1,895,470.35

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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.