Finding the Third Proportional to 112 and 274
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Solution
The third proportional to 112 and 274 is: 670.32
Step by Step Solution
- Step 1: Write the proportion equation
112 : 274 = 274 : x - Step 2: Convert to fraction form
112/274 = 274/x - Step 3: Cross multiply
112x = 274 × 274 - Step 4: Simplify right side
112x = 75,076 - Step 5: Solve for x
x = 75,076/112 - Step 6: Final answer
x = 670.32
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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.