Finding the Third Proportional to 880 and 1,078
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Solution
The third proportional to 880 and 1,078 is: 1,320.55
Step by Step Solution
- Step 1: Write the proportion equation
880 : 1,078 = 1,078 : x - Step 2: Convert to fraction form
880/1,078 = 1,078/x - Step 3: Cross multiply
880x = 1,078 × 1,078 - Step 4: Simplify right side
880x = 1,162,084 - Step 5: Solve for x
x = 1,162,084/880 - Step 6: Final answer
x = 1,320.55
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Why These Related Problems?
These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.