Finding the Third Proportional to 97 and 161.75
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Solution
The third proportional to 97 and 161.75 is: 269.72
Step by Step Solution
- Step 1: Write the proportion equation
97 : 161.75 = 161.75 : x - Step 2: Convert to fraction form
97/161.75 = 161.75/x - Step 3: Cross multiply
97x = 161.75 × 161.75 - Step 4: Simplify right side
97x = 26,163.06 - Step 5: Solve for x
x = 26,163.06/97 - Step 6: Final answer
x = 269.72
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.