Finding the Third Proportional to 949 and 1,099
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Solution
The third proportional to 949 and 1,099 is: 1,272.71
Step by Step Solution
- Step 1: Write the proportion equation
949 : 1,099 = 1,099 : x - Step 2: Convert to fraction form
949/1,099 = 1,099/x - Step 3: Cross multiply
949x = 1,099 × 1,099 - Step 4: Simplify right side
949x = 1,207,801 - Step 5: Solve for x
x = 1,207,801/949 - Step 6: Final answer
x = 1,272.71
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Why These Related Problems?
These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.