Finding the Third Proportional to 218 and 268
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Solution
The third proportional to 218 and 268 is: 329.47
Step by Step Solution
- Step 1: Write the proportion equation
218 : 268 = 268 : x - Step 2: Convert to fraction form
218/268 = 268/x - Step 3: Cross multiply
218x = 268 × 268 - Step 4: Simplify right side
218x = 71,824 - Step 5: Solve for x
x = 71,824/218 - Step 6: Final answer
x = 329.47
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These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.