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Finding the Third Proportional to 260,840.25 and 396,738

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Solution

The third proportional to 260,840.25 and 396,738 is: 603,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,840.25 : 396,738 = 396,738 : x
  2. Step 2: Convert to fraction form
    260,840.25/396,738 = 396,738/x
  3. Step 3: Cross multiply
    260,840.25x = 396,738 × 396,738
  4. Step 4: Simplify right side
    260,840.25x = 157,401,040,644
  5. Step 5: Solve for x
    x = 157,401,040,644/260,840.25
  6. Step 6: Final answer
    x = 603,438.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.