Finding the Third Proportional to 497 and 1,036
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Solution
The third proportional to 497 and 1,036 is: 2,159.55
Step by Step Solution
- Step 1: Write the proportion equation
497 : 1,036 = 1,036 : x - Step 2: Convert to fraction form
497/1,036 = 1,036/x - Step 3: Cross multiply
497x = 1,036 × 1,036 - Step 4: Simplify right side
497x = 1,073,296 - Step 5: Solve for x
x = 1,073,296/497 - Step 6: Final answer
x = 2,159.55
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.