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Finding the Third Proportional to 181,176 and 398,196

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Solution

The third proportional to 181,176 and 398,196 is: 875,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,176 : 398,196 = 398,196 : x
  2. Step 2: Convert to fraction form
    181,176/398,196 = 398,196/x
  3. Step 3: Cross multiply
    181,176x = 398,196 × 398,196
  4. Step 4: Simplify right side
    181,176x = 158,560,054,416
  5. Step 5: Solve for x
    x = 158,560,054,416/181,176
  6. Step 6: Final answer
    x = 875,171.40

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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.