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Finding the Third Proportional to 181,286 and 398,420

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Solution

The third proportional to 181,286 and 398,420 is: 875,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,286 : 398,420 = 398,420 : x
  2. Step 2: Convert to fraction form
    181,286/398,420 = 398,420/x
  3. Step 3: Cross multiply
    181,286x = 398,420 × 398,420
  4. Step 4: Simplify right side
    181,286x = 158,738,496,400
  5. Step 5: Solve for x
    x = 158,738,496,400/181,286
  6. Step 6: Final answer
    x = 875,624.68

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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.