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Finding the Third Proportional to 260.09 and 394.56

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Solution

The third proportional to 260.09 and 394.56 is: 598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.09 : 394.56 = 394.56 : x
  2. Step 2: Convert to fraction form
    260.09/394.56 = 394.56/x
  3. Step 3: Cross multiply
    260.09x = 394.56 × 394.56
  4. Step 4: Simplify right side
    260.09x = 155,676.48
  5. Step 5: Solve for x
    x = 155,676.48/260.09
  6. Step 6: Final answer
    x = 598.56

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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.