Finding the Third Proportional to 960 and 1,216
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Solution
The third proportional to 960 and 1,216 is: 1,540.27
Step by Step Solution
- Step 1: Write the proportion equation
960 : 1,216 = 1,216 : x - Step 2: Convert to fraction form
960/1,216 = 1,216/x - Step 3: Cross multiply
960x = 1,216 × 1,216 - Step 4: Simplify right side
960x = 1,478,656 - Step 5: Solve for x
x = 1,478,656/960 - Step 6: Final answer
x = 1,540.27
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Why These Related Problems?
These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.