Finding the Third Proportional to 115 and 285.50
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Solution
The third proportional to 115 and 285.50 is: 708.78
Step by Step Solution
- Step 1: Write the proportion equation
115 : 285.50 = 285.50 : x - Step 2: Convert to fraction form
115/285.50 = 285.50/x - Step 3: Cross multiply
115x = 285.50 × 285.50 - Step 4: Simplify right side
115x = 81,510.25 - Step 5: Solve for x
x = 81,510.25/115 - Step 6: Final answer
x = 708.78
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Why These Related Problems?
These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.