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Finding the Third Proportional to 181,018 and 397,722

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Solution

The third proportional to 181,018 and 397,722 is: 873,851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,018 : 397,722 = 397,722 : x
  2. Step 2: Convert to fraction form
    181,018/397,722 = 397,722/x
  3. Step 3: Cross multiply
    181,018x = 397,722 × 397,722
  4. Step 4: Simplify right side
    181,018x = 158,182,789,284
  5. Step 5: Solve for x
    x = 158,182,789,284/181,018
  6. Step 6: Final answer
    x = 873,851.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.