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Finding the Third Proportional to 181,448 and 398,320

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Solution

The third proportional to 181,448 and 398,320 is: 874,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,448 : 398,320 = 398,320 : x
  2. Step 2: Convert to fraction form
    181,448/398,320 = 398,320/x
  3. Step 3: Cross multiply
    181,448x = 398,320 × 398,320
  4. Step 4: Simplify right side
    181,448x = 158,658,822,400
  5. Step 5: Solve for x
    x = 158,658,822,400/181,448
  6. Step 6: Final answer
    x = 874,403.81

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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.