Finding the Third Proportional to 825 and 1,479
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Solution
The third proportional to 825 and 1,479 is: 2,651.44
Step by Step Solution
- Step 1: Write the proportion equation
825 : 1,479 = 1,479 : x - Step 2: Convert to fraction form
825/1,479 = 1,479/x - Step 3: Cross multiply
825x = 1,479 × 1,479 - Step 4: Simplify right side
825x = 2,187,441 - Step 5: Solve for x
x = 2,187,441/825 - Step 6: Final answer
x = 2,651.44
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Why These Related Problems?
These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.