Finding the Third Proportional to 260 and 326
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Solution
The third proportional to 260 and 326 is: 408.75
Step by Step Solution
- Step 1: Write the proportion equation
260 : 326 = 326 : x - Step 2: Convert to fraction form
260/326 = 326/x - Step 3: Cross multiply
260x = 326 × 326 - Step 4: Simplify right side
260x = 106,276 - Step 5: Solve for x
x = 106,276/260 - Step 6: Final answer
x = 408.75
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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.