Finding the Third Proportional to 86 and 144.25
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Solution
The third proportional to 86 and 144.25 is: 241.95
Step by Step Solution
- Step 1: Write the proportion equation
86 : 144.25 = 144.25 : x - Step 2: Convert to fraction form
86/144.25 = 144.25/x - Step 3: Cross multiply
86x = 144.25 × 144.25 - Step 4: Simplify right side
86x = 20,808.06 - Step 5: Solve for x
x = 20,808.06/86 - Step 6: Final answer
x = 241.95
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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.