Finding the Third Proportional to 836 and 1,369
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Solution
The third proportional to 836 and 1,369 is: 2,241.82
Step by Step Solution
- Step 1: Write the proportion equation
836 : 1,369 = 1,369 : x - Step 2: Convert to fraction form
836/1,369 = 1,369/x - Step 3: Cross multiply
836x = 1,369 × 1,369 - Step 4: Simplify right side
836x = 1,874,161 - Step 5: Solve for x
x = 1,874,161/836 - Step 6: Final answer
x = 2,241.82
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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.