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Finding the Third Proportional to 172,170 and 251,406

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Solution

The third proportional to 172,170 and 251,406 is: 367,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,170 : 251,406 = 251,406 : x
  2. Step 2: Convert to fraction form
    172,170/251,406 = 251,406/x
  3. Step 3: Cross multiply
    172,170x = 251,406 × 251,406
  4. Step 4: Simplify right side
    172,170x = 63,204,976,836
  5. Step 5: Solve for x
    x = 63,204,976,836/172,170
  6. Step 6: Final answer
    x = 367,107.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.