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Finding the Third Proportional to 181,286 and 398,820

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Solution

The third proportional to 181,286 and 398,820 is: 877,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,286 : 398,820 = 398,820 : x
  2. Step 2: Convert to fraction form
    181,286/398,820 = 398,820/x
  3. Step 3: Cross multiply
    181,286x = 398,820 × 398,820
  4. Step 4: Simplify right side
    181,286x = 159,057,392,400
  5. Step 5: Solve for x
    x = 159,057,392,400/181,286
  6. Step 6: Final answer
    x = 877,383.76

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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.