Finding the Third Proportional to 120.50 and 219.50
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Solution
The third proportional to 120.50 and 219.50 is: 399.84
Step by Step Solution
- Step 1: Write the proportion equation
120.50 : 219.50 = 219.50 : x - Step 2: Convert to fraction form
120.50/219.50 = 219.50/x - Step 3: Cross multiply
120.50x = 219.50 × 219.50 - Step 4: Simplify right side
120.50x = 48,180.25 - Step 5: Solve for x
x = 48,180.25/120.50 - Step 6: Final answer
x = 399.84
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Why These Related Problems?
These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.