Finding the Third Proportional to 214 and 312
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Solution
The third proportional to 214 and 312 is: 454.88
Step by Step Solution
- Step 1: Write the proportion equation
214 : 312 = 312 : x - Step 2: Convert to fraction form
214/312 = 312/x - Step 3: Cross multiply
214x = 312 × 312 - Step 4: Simplify right side
214x = 97,344 - Step 5: Solve for x
x = 97,344/214 - Step 6: Final answer
x = 454.88
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.