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Finding the Third Proportional to 181,072 and 398,240

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Solution

The third proportional to 181,072 and 398,240 is: 875,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,072 : 398,240 = 398,240 : x
  2. Step 2: Convert to fraction form
    181,072/398,240 = 398,240/x
  3. Step 3: Cross multiply
    181,072x = 398,240 × 398,240
  4. Step 4: Simplify right side
    181,072x = 158,595,097,600
  5. Step 5: Solve for x
    x = 158,595,097,600/181,072
  6. Step 6: Final answer
    x = 875,867.60

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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.