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Finding the Third Proportional to 172,170 and 372,936

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Solution

The third proportional to 172,170 and 372,936 is: 807,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,170 : 372,936 = 372,936 : x
  2. Step 2: Convert to fraction form
    172,170/372,936 = 372,936/x
  3. Step 3: Cross multiply
    172,170x = 372,936 × 372,936
  4. Step 4: Simplify right side
    172,170x = 139,081,260,096
  5. Step 5: Solve for x
    x = 139,081,260,096/172,170
  6. Step 6: Final answer
    x = 807,813.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.