Finding the Third Proportional to 223 and 427.50
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Solution
The third proportional to 223 and 427.50 is: 819.53
Step by Step Solution
- Step 1: Write the proportion equation
223 : 427.50 = 427.50 : x - Step 2: Convert to fraction form
223/427.50 = 427.50/x - Step 3: Cross multiply
223x = 427.50 × 427.50 - Step 4: Simplify right side
223x = 182,756.25 - Step 5: Solve for x
x = 182,756.25/223 - Step 6: Final answer
x = 819.53
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Why These Related Problems?
These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.