Finding the Third Proportional to 214 and 288
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Solution
The third proportional to 214 and 288 is: 387.59
Step by Step Solution
- Step 1: Write the proportion equation
214 : 288 = 288 : x - Step 2: Convert to fraction form
214/288 = 288/x - Step 3: Cross multiply
214x = 288 × 288 - Step 4: Simplify right side
214x = 82,944 - Step 5: Solve for x
x = 82,944/214 - Step 6: Final answer
x = 387.59
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.