Finding the Third Proportional to 398 and 558
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Solution
The third proportional to 398 and 558 is: 782.32
Step by Step Solution
- Step 1: Write the proportion equation
398 : 558 = 558 : x - Step 2: Convert to fraction form
398/558 = 558/x - Step 3: Cross multiply
398x = 558 × 558 - Step 4: Simplify right side
398x = 311,364 - Step 5: Solve for x
x = 311,364/398 - Step 6: Final answer
x = 782.32
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.