Finding the Third Proportional to 120 and 213.50
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Solution
The third proportional to 120 and 213.50 is: 379.85
Step by Step Solution
- Step 1: Write the proportion equation
120 : 213.50 = 213.50 : x - Step 2: Convert to fraction form
120/213.50 = 213.50/x - Step 3: Cross multiply
120x = 213.50 × 213.50 - Step 4: Simplify right side
120x = 45,582.25 - Step 5: Solve for x
x = 45,582.25/120 - Step 6: Final answer
x = 379.85
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Why These Related Problems?
These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.