Finding the Third Proportional to 422 and 449
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Solution
The third proportional to 422 and 449 is: 477.73
Step by Step Solution
- Step 1: Write the proportion equation
422 : 449 = 449 : x - Step 2: Convert to fraction form
422/449 = 449/x - Step 3: Cross multiply
422x = 449 × 449 - Step 4: Simplify right side
422x = 201,601 - Step 5: Solve for x
x = 201,601/422 - Step 6: Final answer
x = 477.73
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Why These Related Problems?
These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.