Finding the Third Proportional to 274 and 314
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Solution
The third proportional to 274 and 314 is: 359.84
Step by Step Solution
- Step 1: Write the proportion equation
274 : 314 = 314 : x - Step 2: Convert to fraction form
274/314 = 314/x - Step 3: Cross multiply
274x = 314 × 314 - Step 4: Simplify right side
274x = 98,596 - Step 5: Solve for x
x = 98,596/274 - Step 6: Final answer
x = 359.84
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.