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Finding the Third Proportional to 172,914 and 354,366

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Solution

The third proportional to 172,914 and 354,366 is: 726,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,914 : 354,366 = 354,366 : x
  2. Step 2: Convert to fraction form
    172,914/354,366 = 354,366/x
  3. Step 3: Cross multiply
    172,914x = 354,366 × 354,366
  4. Step 4: Simplify right side
    172,914x = 125,575,261,956
  5. Step 5: Solve for x
    x = 125,575,261,956/172,914
  6. Step 6: Final answer
    x = 726,229.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.