Finding the Third Proportional to 398 and 465
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Solution
The third proportional to 398 and 465 is: 543.28
Step by Step Solution
- Step 1: Write the proportion equation
398 : 465 = 465 : x - Step 2: Convert to fraction form
398/465 = 465/x - Step 3: Cross multiply
398x = 465 × 465 - Step 4: Simplify right side
398x = 216,225 - Step 5: Solve for x
x = 216,225/398 - Step 6: Final answer
x = 543.28
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Why These Related Problems?
These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.