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Finding the Third Proportional to 269,298 and 398,739.38

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Solution

The third proportional to 269,298 and 398,739.38 is: 590,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,298 : 398,739.38 = 398,739.38 : x
  2. Step 2: Convert to fraction form
    269,298/398,739.38 = 398,739.38/x
  3. Step 3: Cross multiply
    269,298x = 398,739.38 × 398,739.38
  4. Step 4: Simplify right side
    269,298x = 158,993,089,175.39
  5. Step 5: Solve for x
    x = 158,993,089,175.39/269,298
  6. Step 6: Final answer
    x = 590,398.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.