Finding the Third Proportional to 1,125 and 1,275
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Solution
The third proportional to 1,125 and 1,275 is: 1,445
Step by Step Solution
- Step 1: Write the proportion equation
1,125 : 1,275 = 1,275 : x - Step 2: Convert to fraction form
1,125/1,275 = 1,275/x - Step 3: Cross multiply
1,125x = 1,275 × 1,275 - Step 4: Simplify right side
1,125x = 1,625,625 - Step 5: Solve for x
x = 1,625,625/1,125 - Step 6: Final answer
x = 1,445
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.