Finding the Third Proportional to 448 and 1,067
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Solution
The third proportional to 448 and 1,067 is: 2,541.27
Step by Step Solution
- Step 1: Write the proportion equation
448 : 1,067 = 1,067 : x - Step 2: Convert to fraction form
448/1,067 = 1,067/x - Step 3: Cross multiply
448x = 1,067 × 1,067 - Step 4: Simplify right side
448x = 1,138,489 - Step 5: Solve for x
x = 1,138,489/448 - Step 6: Final answer
x = 2,541.27
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Why These Related Problems?
These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.