Finding the Third Proportional to 203 and 231
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Solution
The third proportional to 203 and 231 is: 262.86
Step by Step Solution
- Step 1: Write the proportion equation
203 : 231 = 231 : x - Step 2: Convert to fraction form
203/231 = 231/x - Step 3: Cross multiply
203x = 231 × 231 - Step 4: Simplify right side
203x = 53,361 - Step 5: Solve for x
x = 53,361/203 - Step 6: Final answer
x = 262.86
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.