Finding the Third Proportional to 180 and 217
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Solution
The third proportional to 180 and 217 is: 261.61
Step by Step Solution
- Step 1: Write the proportion equation
180 : 217 = 217 : x - Step 2: Convert to fraction form
180/217 = 217/x - Step 3: Cross multiply
180x = 217 × 217 - Step 4: Simplify right side
180x = 47,089 - Step 5: Solve for x
x = 47,089/180 - Step 6: Final answer
x = 261.61
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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.