Finding the Third Proportional to 916 and 1,000
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Solution
The third proportional to 916 and 1,000 is: 1,091.70
Step by Step Solution
- Step 1: Write the proportion equation
916 : 1,000 = 1,000 : x - Step 2: Convert to fraction form
916/1,000 = 1,000/x - Step 3: Cross multiply
916x = 1,000 × 1,000 - Step 4: Simplify right side
916x = 1,000,000 - Step 5: Solve for x
x = 1,000,000/916 - Step 6: Final answer
x = 1,091.70
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.