Finding the Third Proportional to 208 and 398
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Solution
The third proportional to 208 and 398 is: 761.56
Step by Step Solution
- Step 1: Write the proportion equation
208 : 398 = 398 : x - Step 2: Convert to fraction form
208/398 = 398/x - Step 3: Cross multiply
208x = 398 × 398 - Step 4: Simplify right side
208x = 158,404 - Step 5: Solve for x
x = 158,404/208 - Step 6: Final answer
x = 761.56
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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.