Finding the Third Proportional to 1,117.75 and 1,243.75
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Solution
The third proportional to 1,117.75 and 1,243.75 is: 1,383.95
Step by Step Solution
- Step 1: Write the proportion equation
1,117.75 : 1,243.75 = 1,243.75 : x - Step 2: Convert to fraction form
1,117.75/1,243.75 = 1,243.75/x - Step 3: Cross multiply
1,117.75x = 1,243.75 × 1,243.75 - Step 4: Simplify right side
1,117.75x = 1,546,914.06 - Step 5: Solve for x
x = 1,546,914.06/1,117.75 - Step 6: Final answer
x = 1,383.95
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.