Finding the Third Proportional to 120 and 270
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Solution
The third proportional to 120 and 270 is: 607.50
Step by Step Solution
- Step 1: Write the proportion equation
120 : 270 = 270 : x - Step 2: Convert to fraction form
120/270 = 270/x - Step 3: Cross multiply
120x = 270 × 270 - Step 4: Simplify right side
120x = 72,900 - Step 5: Solve for x
x = 72,900/120 - Step 6: Final answer
x = 607.50
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Why These Related Problems?
These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.