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Finding the Third Proportional to 179,783 and 399,469

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Solution

The third proportional to 179,783 and 399,469 is: 887,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,783 : 399,469 = 399,469 : x
  2. Step 2: Convert to fraction form
    179,783/399,469 = 399,469/x
  3. Step 3: Cross multiply
    179,783x = 399,469 × 399,469
  4. Step 4: Simplify right side
    179,783x = 159,575,481,961
  5. Step 5: Solve for x
    x = 159,575,481,961/179,783
  6. Step 6: Final answer
    x = 887,600.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.