Finding the Third Proportional to 160 and 220
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Solution
The third proportional to 160 and 220 is: 302.50
Step by Step Solution
- Step 1: Write the proportion equation
160 : 220 = 220 : x - Step 2: Convert to fraction form
160/220 = 220/x - Step 3: Cross multiply
160x = 220 × 220 - Step 4: Simplify right side
160x = 48,400 - Step 5: Solve for x
x = 48,400/160 - Step 6: Final answer
x = 302.50
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.