Finding the Third Proportional to 115 and 123.50
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Solution
The third proportional to 115 and 123.50 is: 132.63
Step by Step Solution
- Step 1: Write the proportion equation
115 : 123.50 = 123.50 : x - Step 2: Convert to fraction form
115/123.50 = 123.50/x - Step 3: Cross multiply
115x = 123.50 × 123.50 - Step 4: Simplify right side
115x = 15,252.25 - Step 5: Solve for x
x = 15,252.25/115 - Step 6: Final answer
x = 132.63
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Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.