Finding the Third Proportional to 160 and 268.50
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Solution
The third proportional to 160 and 268.50 is: 450.58
Step by Step Solution
- Step 1: Write the proportion equation
160 : 268.50 = 268.50 : x - Step 2: Convert to fraction form
160/268.50 = 268.50/x - Step 3: Cross multiply
160x = 268.50 × 268.50 - Step 4: Simplify right side
160x = 72,092.25 - Step 5: Solve for x
x = 72,092.25/160 - Step 6: Final answer
x = 450.58
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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.