Finding the Third Proportional to 267 and 663
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Solution
The third proportional to 267 and 663 is: 1,646.33
Step by Step Solution
- Step 1: Write the proportion equation
267 : 663 = 663 : x - Step 2: Convert to fraction form
267/663 = 663/x - Step 3: Cross multiply
267x = 663 × 663 - Step 4: Simplify right side
267x = 439,569 - Step 5: Solve for x
x = 439,569/267 - Step 6: Final answer
x = 1,646.33
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Why These Related Problems?
These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.