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Finding the Third Proportional to 181,131 and 397,254

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Solution

The third proportional to 181,131 and 397,254 is: 871,251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,131 : 397,254 = 397,254 : x
  2. Step 2: Convert to fraction form
    181,131/397,254 = 397,254/x
  3. Step 3: Cross multiply
    181,131x = 397,254 × 397,254
  4. Step 4: Simplify right side
    181,131x = 157,810,740,516
  5. Step 5: Solve for x
    x = 157,810,740,516/181,131
  6. Step 6: Final answer
    x = 871,251.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.