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Finding the Third Proportional to 171,493 and 254,753

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Solution

The third proportional to 171,493 and 254,753 is: 378,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,493 : 254,753 = 254,753 : x
  2. Step 2: Convert to fraction form
    171,493/254,753 = 254,753/x
  3. Step 3: Cross multiply
    171,493x = 254,753 × 254,753
  4. Step 4: Simplify right side
    171,493x = 64,899,091,009
  5. Step 5: Solve for x
    x = 64,899,091,009/171,493
  6. Step 6: Final answer
    x = 378,435.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.