Finding the Third Proportional to 80 and 199.50
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Solution
The third proportional to 80 and 199.50 is: 497.50
Step by Step Solution
- Step 1: Write the proportion equation
80 : 199.50 = 199.50 : x - Step 2: Convert to fraction form
80/199.50 = 199.50/x - Step 3: Cross multiply
80x = 199.50 × 199.50 - Step 4: Simplify right side
80x = 39,800.25 - Step 5: Solve for x
x = 39,800.25/80 - Step 6: Final answer
x = 497.50
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Why These Related Problems?
These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.