Finding the Third Proportional to 149 and 167
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Solution
The third proportional to 149 and 167 is: 187.17
Step by Step Solution
- Step 1: Write the proportion equation
149 : 167 = 167 : x - Step 2: Convert to fraction form
149/167 = 167/x - Step 3: Cross multiply
149x = 167 × 167 - Step 4: Simplify right side
149x = 27,889 - Step 5: Solve for x
x = 27,889/149 - Step 6: Final answer
x = 187.17
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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.