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Finding the Third Proportional to 393,921 and 840,321

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Solution

The third proportional to 393,921 and 840,321 is: 1,792,591.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,921 : 840,321 = 840,321 : x
  2. Step 2: Convert to fraction form
    393,921/840,321 = 840,321/x
  3. Step 3: Cross multiply
    393,921x = 840,321 × 840,321
  4. Step 4: Simplify right side
    393,921x = 706,139,383,041
  5. Step 5: Solve for x
    x = 706,139,383,041/393,921
  6. Step 6: Final answer
    x = 1,792,591.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.