Finding the Third Proportional to 42 and 112.75
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Solution
The third proportional to 42 and 112.75 is: 302.68
Step by Step Solution
- Step 1: Write the proportion equation
42 : 112.75 = 112.75 : x - Step 2: Convert to fraction form
42/112.75 = 112.75/x - Step 3: Cross multiply
42x = 112.75 × 112.75 - Step 4: Simplify right side
42x = 12,712.56 - Step 5: Solve for x
x = 12,712.56/42 - Step 6: Final answer
x = 302.68
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Why These Related Problems?
These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.