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Finding the Third Proportional to 181,574 and 398,980

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Solution

The third proportional to 181,574 and 398,980 is: 876,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,574 : 398,980 = 398,980 : x
  2. Step 2: Convert to fraction form
    181,574/398,980 = 398,980/x
  3. Step 3: Cross multiply
    181,574x = 398,980 × 398,980
  4. Step 4: Simplify right side
    181,574x = 159,185,040,400
  5. Step 5: Solve for x
    x = 159,185,040,400/181,574
  6. Step 6: Final answer
    x = 876,695.12

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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.