Finding the Third Proportional to 144 and 360
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Solution
The third proportional to 144 and 360 is: 900
Step by Step Solution
- Step 1: Write the proportion equation
144 : 360 = 360 : x - Step 2: Convert to fraction form
144/360 = 360/x - Step 3: Cross multiply
144x = 360 × 360 - Step 4: Simplify right side
144x = 129,600 - Step 5: Solve for x
x = 129,600/144 - Step 6: Final answer
x = 900
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Why These Related Problems?
These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.