Finding the Third Proportional to 771 and 1,639
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Solution
The third proportional to 771 and 1,639 is: 3,484.20
Step by Step Solution
- Step 1: Write the proportion equation
771 : 1,639 = 1,639 : x - Step 2: Convert to fraction form
771/1,639 = 1,639/x - Step 3: Cross multiply
771x = 1,639 × 1,639 - Step 4: Simplify right side
771x = 2,686,321 - Step 5: Solve for x
x = 2,686,321/771 - Step 6: Final answer
x = 3,484.20
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.