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Finding the Third Proportional to 181,178 and 398,200

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Solution

The third proportional to 181,178 and 398,200 is: 875,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,178 : 398,200 = 398,200 : x
  2. Step 2: Convert to fraction form
    181,178/398,200 = 398,200/x
  3. Step 3: Cross multiply
    181,178x = 398,200 × 398,200
  4. Step 4: Simplify right side
    181,178x = 158,563,240,000
  5. Step 5: Solve for x
    x = 158,563,240,000/181,178
  6. Step 6: Final answer
    x = 875,179.33

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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.