Finding the Third Proportional to 193.50 and 213
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Solution
The third proportional to 193.50 and 213 is: 234.47
Step by Step Solution
- Step 1: Write the proportion equation
193.50 : 213 = 213 : x - Step 2: Convert to fraction form
193.50/213 = 213/x - Step 3: Cross multiply
193.50x = 213 × 213 - Step 4: Simplify right side
193.50x = 45,369 - Step 5: Solve for x
x = 45,369/193.50 - Step 6: Final answer
x = 234.47
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.