Finding the Third Proportional to 167 and 178
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Solution
The third proportional to 167 and 178 is: 189.72
Step by Step Solution
- Step 1: Write the proportion equation
167 : 178 = 178 : x - Step 2: Convert to fraction form
167/178 = 178/x - Step 3: Cross multiply
167x = 178 × 178 - Step 4: Simplify right side
167x = 31,684 - Step 5: Solve for x
x = 31,684/167 - Step 6: Final answer
x = 189.72
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.