Finding the Third Proportional to 178 and 356
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Solution
The third proportional to 178 and 356 is: 712
Step by Step Solution
- Step 1: Write the proportion equation
178 : 356 = 356 : x - Step 2: Convert to fraction form
178/356 = 356/x - Step 3: Cross multiply
178x = 356 × 356 - Step 4: Simplify right side
178x = 126,736 - Step 5: Solve for x
x = 126,736/178 - Step 6: Final answer
x = 712
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Why These Related Problems?
These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.