Finding the Third Proportional to 280 and 302.50
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Solution
The third proportional to 280 and 302.50 is: 326.81
Step by Step Solution
- Step 1: Write the proportion equation
280 : 302.50 = 302.50 : x - Step 2: Convert to fraction form
280/302.50 = 302.50/x - Step 3: Cross multiply
280x = 302.50 × 302.50 - Step 4: Simplify right side
280x = 91,506.25 - Step 5: Solve for x
x = 91,506.25/280 - Step 6: Final answer
x = 326.81
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.