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Finding the Third Proportional to 181,057 and 398,210

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Solution

The third proportional to 181,057 and 398,210 is: 875,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,057 : 398,210 = 398,210 : x
  2. Step 2: Convert to fraction form
    181,057/398,210 = 398,210/x
  3. Step 3: Cross multiply
    181,057x = 398,210 × 398,210
  4. Step 4: Simplify right side
    181,057x = 158,571,204,100
  5. Step 5: Solve for x
    x = 158,571,204,100/181,057
  6. Step 6: Final answer
    x = 875,808.19

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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.