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Finding the Third Proportional to 181,563 and 398,961

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Solution

The third proportional to 181,563 and 398,961 is: 876,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,563 : 398,961 = 398,961 : x
  2. Step 2: Convert to fraction form
    181,563/398,961 = 398,961/x
  3. Step 3: Cross multiply
    181,563x = 398,961 × 398,961
  4. Step 4: Simplify right side
    181,563x = 159,169,879,521
  5. Step 5: Solve for x
    x = 159,169,879,521/181,563
  6. Step 6: Final answer
    x = 876,664.74

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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.