Finding the Third Proportional to 177.50 and 196
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Solution
The third proportional to 177.50 and 196 is: 216.43
Step by Step Solution
- Step 1: Write the proportion equation
177.50 : 196 = 196 : x - Step 2: Convert to fraction form
177.50/196 = 196/x - Step 3: Cross multiply
177.50x = 196 × 196 - Step 4: Simplify right side
177.50x = 38,416 - Step 5: Solve for x
x = 38,416/177.50 - Step 6: Final answer
x = 216.43
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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.