Finding the Third Proportional to 57 and 144.75
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Solution
The third proportional to 57 and 144.75 is: 367.59
Step by Step Solution
- Step 1: Write the proportion equation
57 : 144.75 = 144.75 : x - Step 2: Convert to fraction form
57/144.75 = 144.75/x - Step 3: Cross multiply
57x = 144.75 × 144.75 - Step 4: Simplify right side
57x = 20,952.56 - Step 5: Solve for x
x = 20,952.56/57 - Step 6: Final answer
x = 367.59
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Why These Related Problems?
These problems maintain the same ratio (2.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.