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Finding the Third Proportional to 198,944.44 and 407,080.69

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Solution

The third proportional to 198,944.44 and 407,080.69 is: 832,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,944.44 : 407,080.69 = 407,080.69 : x
  2. Step 2: Convert to fraction form
    198,944.44/407,080.69 = 407,080.69/x
  3. Step 3: Cross multiply
    198,944.44x = 407,080.69 × 407,080.69
  4. Step 4: Simplify right side
    198,944.44x = 165,714,686,135.47
  5. Step 5: Solve for x
    x = 165,714,686,135.47/198,944.44
  6. Step 6: Final answer
    x = 832,969.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.