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Finding the Third Proportional to 181,568 and 398,970

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Solution

The third proportional to 181,568 and 398,970 is: 876,680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,568 : 398,970 = 398,970 : x
  2. Step 2: Convert to fraction form
    181,568/398,970 = 398,970/x
  3. Step 3: Cross multiply
    181,568x = 398,970 × 398,970
  4. Step 4: Simplify right side
    181,568x = 159,177,060,900
  5. Step 5: Solve for x
    x = 159,177,060,900/181,568
  6. Step 6: Final answer
    x = 876,680.15

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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.