Finding the Third Proportional to 106 and 181
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Solution
The third proportional to 106 and 181 is: 309.07
Step by Step Solution
- Step 1: Write the proportion equation
106 : 181 = 181 : x - Step 2: Convert to fraction form
106/181 = 181/x - Step 3: Cross multiply
106x = 181 × 181 - Step 4: Simplify right side
106x = 32,761 - Step 5: Solve for x
x = 32,761/106 - Step 6: Final answer
x = 309.07
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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.