Finding the Third Proportional to 1,163 and 2,509
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Solution
The third proportional to 1,163 and 2,509 is: 5,412.80
Step by Step Solution
- Step 1: Write the proportion equation
1,163 : 2,509 = 2,509 : x - Step 2: Convert to fraction form
1,163/2,509 = 2,509/x - Step 3: Cross multiply
1,163x = 2,509 × 2,509 - Step 4: Simplify right side
1,163x = 6,295,081 - Step 5: Solve for x
x = 6,295,081/1,163 - Step 6: Final answer
x = 5,412.80
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.