Finding the Third Proportional to 398 and 427.50
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Solution
The third proportional to 398 and 427.50 is: 459.19
Step by Step Solution
- Step 1: Write the proportion equation
398 : 427.50 = 427.50 : x - Step 2: Convert to fraction form
398/427.50 = 427.50/x - Step 3: Cross multiply
398x = 427.50 × 427.50 - Step 4: Simplify right side
398x = 182,756.25 - Step 5: Solve for x
x = 182,756.25/398 - Step 6: Final answer
x = 459.19
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.