Finding the Third Proportional to 204 and 531
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Solution
The third proportional to 204 and 531 is: 1,382.16
Step by Step Solution
- Step 1: Write the proportion equation
204 : 531 = 531 : x - Step 2: Convert to fraction form
204/531 = 531/x - Step 3: Cross multiply
204x = 531 × 531 - Step 4: Simplify right side
204x = 281,961 - Step 5: Solve for x
x = 281,961/204 - Step 6: Final answer
x = 1,382.16
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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.