Finding the Third Proportional to 209 and 479
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Solution
The third proportional to 209 and 479 is: 1,097.80
Step by Step Solution
- Step 1: Write the proportion equation
209 : 479 = 479 : x - Step 2: Convert to fraction form
209/479 = 479/x - Step 3: Cross multiply
209x = 479 × 479 - Step 4: Simplify right side
209x = 229,441 - Step 5: Solve for x
x = 229,441/209 - Step 6: Final answer
x = 1,097.80
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These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.