Finding the Third Proportional to 251 and 409.50
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Solution
The third proportional to 251 and 409.50 is: 668.09
Step by Step Solution
- Step 1: Write the proportion equation
251 : 409.50 = 409.50 : x - Step 2: Convert to fraction form
251/409.50 = 409.50/x - Step 3: Cross multiply
251x = 409.50 × 409.50 - Step 4: Simplify right side
251x = 167,690.25 - Step 5: Solve for x
x = 167,690.25/251 - Step 6: Final answer
x = 668.09
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.