Finding the Third Proportional to 197.50 and 213
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Solution
The third proportional to 197.50 and 213 is: 229.72
Step by Step Solution
- Step 1: Write the proportion equation
197.50 : 213 = 213 : x - Step 2: Convert to fraction form
197.50/213 = 213/x - Step 3: Cross multiply
197.50x = 213 × 213 - Step 4: Simplify right side
197.50x = 45,369 - Step 5: Solve for x
x = 45,369/197.50 - Step 6: Final answer
x = 229.72
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.