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Finding the Third Proportional to 181,287 and 398,821

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Solution

The third proportional to 181,287 and 398,821 is: 877,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,287 : 398,821 = 398,821 : x
  2. Step 2: Convert to fraction form
    181,287/398,821 = 398,821/x
  3. Step 3: Cross multiply
    181,287x = 398,821 × 398,821
  4. Step 4: Simplify right side
    181,287x = 159,058,190,041
  5. Step 5: Solve for x
    x = 159,058,190,041/181,287
  6. Step 6: Final answer
    x = 877,383.32

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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.