Finding the Third Proportional to 208 and 314
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Solution
The third proportional to 208 and 314 is: 474.02
Step by Step Solution
- Step 1: Write the proportion equation
208 : 314 = 314 : x - Step 2: Convert to fraction form
208/314 = 314/x - Step 3: Cross multiply
208x = 314 × 314 - Step 4: Simplify right side
208x = 98,596 - Step 5: Solve for x
x = 98,596/208 - Step 6: Final answer
x = 474.02
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.