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Finding the Third Proportional to 181,210 and 378,932

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Solution

The third proportional to 181,210 and 378,932 is: 792,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,210 : 378,932 = 378,932 : x
  2. Step 2: Convert to fraction form
    181,210/378,932 = 378,932/x
  3. Step 3: Cross multiply
    181,210x = 378,932 × 378,932
  4. Step 4: Simplify right side
    181,210x = 143,589,460,624
  5. Step 5: Solve for x
    x = 143,589,460,624/181,210
  6. Step 6: Final answer
    x = 792,392.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.