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Finding the Third Proportional to 81,249 and 181,170

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Solution

The third proportional to 81,249 and 181,170 is: 403,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,249 : 181,170 = 181,170 : x
  2. Step 2: Convert to fraction form
    81,249/181,170 = 181,170/x
  3. Step 3: Cross multiply
    81,249x = 181,170 × 181,170
  4. Step 4: Simplify right side
    81,249x = 32,822,568,900
  5. Step 5: Solve for x
    x = 32,822,568,900/81,249
  6. Step 6: Final answer
    x = 403,975.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.