Finding the Third Proportional to 896 and 1,004
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Solution
The third proportional to 896 and 1,004 is: 1,125.02
Step by Step Solution
- Step 1: Write the proportion equation
896 : 1,004 = 1,004 : x - Step 2: Convert to fraction form
896/1,004 = 1,004/x - Step 3: Cross multiply
896x = 1,004 × 1,004 - Step 4: Simplify right side
896x = 1,008,016 - Step 5: Solve for x
x = 1,008,016/896 - Step 6: Final answer
x = 1,125.02
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.