Finding the Third Proportional to 172 and 193.50
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Solution
The third proportional to 172 and 193.50 is: 217.69
Step by Step Solution
- Step 1: Write the proportion equation
172 : 193.50 = 193.50 : x - Step 2: Convert to fraction form
172/193.50 = 193.50/x - Step 3: Cross multiply
172x = 193.50 × 193.50 - Step 4: Simplify right side
172x = 37,442.25 - Step 5: Solve for x
x = 37,442.25/172 - Step 6: Final answer
x = 217.69
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.