Finding the Third Proportional to 1,096.50 and 2,373
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Solution
The third proportional to 1,096.50 and 2,373 is: 5,135.55
Step by Step Solution
- Step 1: Write the proportion equation
1,096.50 : 2,373 = 2,373 : x - Step 2: Convert to fraction form
1,096.50/2,373 = 2,373/x - Step 3: Cross multiply
1,096.50x = 2,373 × 2,373 - Step 4: Simplify right side
1,096.50x = 5,631,129 - Step 5: Solve for x
x = 5,631,129/1,096.50 - Step 6: Final answer
x = 5,135.55
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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.