Finding the Third Proportional to 836 and 1,465
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Solution
The third proportional to 836 and 1,465 is: 2,567.25
Step by Step Solution
- Step 1: Write the proportion equation
836 : 1,465 = 1,465 : x - Step 2: Convert to fraction form
836/1,465 = 1,465/x - Step 3: Cross multiply
836x = 1,465 × 1,465 - Step 4: Simplify right side
836x = 2,146,225 - Step 5: Solve for x
x = 2,146,225/836 - Step 6: Final answer
x = 2,567.25
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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.