Finding the Third Proportional to 243 and 277.50
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Solution
The third proportional to 243 and 277.50 is: 316.90
Step by Step Solution
- Step 1: Write the proportion equation
243 : 277.50 = 277.50 : x - Step 2: Convert to fraction form
243/277.50 = 277.50/x - Step 3: Cross multiply
243x = 277.50 × 277.50 - Step 4: Simplify right side
243x = 77,006.25 - Step 5: Solve for x
x = 77,006.25/243 - Step 6: Final answer
x = 316.90
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.