Finding the Third Proportional to 274 and 398
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Solution
The third proportional to 274 and 398 is: 578.12
Step by Step Solution
- Step 1: Write the proportion equation
274 : 398 = 398 : x - Step 2: Convert to fraction form
274/398 = 398/x - Step 3: Cross multiply
274x = 398 × 398 - Step 4: Simplify right side
274x = 158,404 - Step 5: Solve for x
x = 158,404/274 - Step 6: Final answer
x = 578.12
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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.