Finding the Third Proportional to 180 and 356
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Solution
The third proportional to 180 and 356 is: 704.09
Step by Step Solution
- Step 1: Write the proportion equation
180 : 356 = 356 : x - Step 2: Convert to fraction form
180/356 = 356/x - Step 3: Cross multiply
180x = 356 × 356 - Step 4: Simplify right side
180x = 126,736 - Step 5: Solve for x
x = 126,736/180 - Step 6: Final answer
x = 704.09
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These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.