Finding the Third Proportional to 180 and 300
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Solution
The third proportional to 180 and 300 is: 500
Step by Step Solution
- Step 1: Write the proportion equation
180 : 300 = 300 : x - Step 2: Convert to fraction form
180/300 = 300/x - Step 3: Cross multiply
180x = 300 × 300 - Step 4: Simplify right side
180x = 90,000 - Step 5: Solve for x
x = 90,000/180 - Step 6: Final answer
x = 500
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Why These Related Problems?
These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.