Finding the Third Proportional to 145 and 381.50
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Solution
The third proportional to 145 and 381.50 is: 1,003.74
Step by Step Solution
- Step 1: Write the proportion equation
145 : 381.50 = 381.50 : x - Step 2: Convert to fraction form
145/381.50 = 381.50/x - Step 3: Cross multiply
145x = 381.50 × 381.50 - Step 4: Simplify right side
145x = 145,542.25 - Step 5: Solve for x
x = 145,542.25/145 - Step 6: Final answer
x = 1,003.74
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Why These Related Problems?
These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.