Finding the Third Proportional to 180 and 272.25
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Solution
The third proportional to 180 and 272.25 is: 411.78
Step by Step Solution
- Step 1: Write the proportion equation
180 : 272.25 = 272.25 : x - Step 2: Convert to fraction form
180/272.25 = 272.25/x - Step 3: Cross multiply
180x = 272.25 × 272.25 - Step 4: Simplify right side
180x = 74,120.06 - Step 5: Solve for x
x = 74,120.06/180 - Step 6: Final answer
x = 411.78
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.