Finding the Third Proportional to 378 and 558
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Solution
The third proportional to 378 and 558 is: 823.71
Step by Step Solution
- Step 1: Write the proportion equation
378 : 558 = 558 : x - Step 2: Convert to fraction form
378/558 = 558/x - Step 3: Cross multiply
378x = 558 × 558 - Step 4: Simplify right side
378x = 311,364 - Step 5: Solve for x
x = 311,364/378 - Step 6: Final answer
x = 823.71
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.