Finding the Third Proportional to 398 and 596
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Solution
The third proportional to 398 and 596 is: 892.50
Step by Step Solution
- Step 1: Write the proportion equation
398 : 596 = 596 : x - Step 2: Convert to fraction form
398/596 = 596/x - Step 3: Cross multiply
398x = 596 × 596 - Step 4: Simplify right side
398x = 355,216 - Step 5: Solve for x
x = 355,216/398 - Step 6: Final answer
x = 892.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.