Finding the Third Proportional to 209 and 499.50
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Solution
The third proportional to 209 and 499.50 is: 1,193.78
Step by Step Solution
- Step 1: Write the proportion equation
209 : 499.50 = 499.50 : x - Step 2: Convert to fraction form
209/499.50 = 499.50/x - Step 3: Cross multiply
209x = 499.50 × 499.50 - Step 4: Simplify right side
209x = 249,500.25 - Step 5: Solve for x
x = 249,500.25/209 - Step 6: Final answer
x = 1,193.78
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Why These Related Problems?
These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.