Finding the Third Proportional to 115 and 277.50
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Solution
The third proportional to 115 and 277.50 is: 669.62
Step by Step Solution
- Step 1: Write the proportion equation
115 : 277.50 = 277.50 : x - Step 2: Convert to fraction form
115/277.50 = 277.50/x - Step 3: Cross multiply
115x = 277.50 × 277.50 - Step 4: Simplify right side
115x = 77,006.25 - Step 5: Solve for x
x = 77,006.25/115 - Step 6: Final answer
x = 669.62
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.