Finding the Third Proportional to 916 and 2,274
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Solution
The third proportional to 916 and 2,274 is: 5,645.28
Step by Step Solution
- Step 1: Write the proportion equation
916 : 2,274 = 2,274 : x - Step 2: Convert to fraction form
916/2,274 = 2,274/x - Step 3: Cross multiply
916x = 2,274 × 2,274 - Step 4: Simplify right side
916x = 5,171,076 - Step 5: Solve for x
x = 5,171,076/916 - Step 6: Final answer
x = 5,645.28
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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.