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Finding the Third Proportional to 181,668 and 396,030

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Solution

The third proportional to 181,668 and 396,030 is: 863,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,668 : 396,030 = 396,030 : x
  2. Step 2: Convert to fraction form
    181,668/396,030 = 396,030/x
  3. Step 3: Cross multiply
    181,668x = 396,030 × 396,030
  4. Step 4: Simplify right side
    181,668x = 156,839,760,900
  5. Step 5: Solve for x
    x = 156,839,760,900/181,668
  6. Step 6: Final answer
    x = 863,331.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.