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Finding the Third Proportional to 181,285 and 398,817

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Solution

The third proportional to 181,285 and 398,817 is: 877,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,285 : 398,817 = 398,817 : x
  2. Step 2: Convert to fraction form
    181,285/398,817 = 398,817/x
  3. Step 3: Cross multiply
    181,285x = 398,817 × 398,817
  4. Step 4: Simplify right side
    181,285x = 159,054,999,489
  5. Step 5: Solve for x
    x = 159,054,999,489/181,285
  6. Step 6: Final answer
    x = 877,375.40

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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.