Finding the Third Proportional to 144 and 228
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Solution
The third proportional to 144 and 228 is: 361
Step by Step Solution
- Step 1: Write the proportion equation
144 : 228 = 228 : x - Step 2: Convert to fraction form
144/228 = 228/x - Step 3: Cross multiply
144x = 228 × 228 - Step 4: Simplify right side
144x = 51,984 - Step 5: Solve for x
x = 51,984/144 - Step 6: Final answer
x = 361
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.