Finding the Third Proportional to 398 and 871.50
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Solution
The third proportional to 398 and 871.50 is: 1,908.32
Step by Step Solution
- Step 1: Write the proportion equation
398 : 871.50 = 871.50 : x - Step 2: Convert to fraction form
398/871.50 = 871.50/x - Step 3: Cross multiply
398x = 871.50 × 871.50 - Step 4: Simplify right side
398x = 759,512.25 - Step 5: Solve for x
x = 759,512.25/398 - Step 6: Final answer
x = 1,908.32
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.