Finding the Third Proportional to 231 and 423
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Solution
The third proportional to 231 and 423 is: 774.58
Step by Step Solution
- Step 1: Write the proportion equation
231 : 423 = 423 : x - Step 2: Convert to fraction form
231/423 = 423/x - Step 3: Cross multiply
231x = 423 × 423 - Step 4: Simplify right side
231x = 178,929 - Step 5: Solve for x
x = 178,929/231 - Step 6: Final answer
x = 774.58
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Why These Related Problems?
These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.