Finding the Third Proportional to 397 and 553.50
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Solution
The third proportional to 397 and 553.50 is: 771.69
Step by Step Solution
- Step 1: Write the proportion equation
397 : 553.50 = 553.50 : x - Step 2: Convert to fraction form
397/553.50 = 553.50/x - Step 3: Cross multiply
397x = 553.50 × 553.50 - Step 4: Simplify right side
397x = 306,362.25 - Step 5: Solve for x
x = 306,362.25/397 - Step 6: Final answer
x = 771.69
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Why These Related Problems?
These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.