Finding the Third Proportional to 144 and 277
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Solution
The third proportional to 144 and 277 is: 532.84
Step by Step Solution
- Step 1: Write the proportion equation
144 : 277 = 277 : x - Step 2: Convert to fraction form
144/277 = 277/x - Step 3: Cross multiply
144x = 277 × 277 - Step 4: Simplify right side
144x = 76,729 - Step 5: Solve for x
x = 76,729/144 - Step 6: Final answer
x = 532.84
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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.