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Finding the Third Proportional to 181,289 and 398,826

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Solution

The third proportional to 181,289 and 398,826 is: 877,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,289 : 398,826 = 398,826 : x
  2. Step 2: Convert to fraction form
    181,289/398,826 = 398,826/x
  3. Step 3: Cross multiply
    181,289x = 398,826 × 398,826
  4. Step 4: Simplify right side
    181,289x = 159,062,178,276
  5. Step 5: Solve for x
    x = 159,062,178,276/181,289
  6. Step 6: Final answer
    x = 877,395.64

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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.