Finding the Third Proportional to 51,109 and 111,722
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Solution
The third proportional to 51,109 and 111,722 is: 244,219.32
Step by Step Solution
- Step 1: Write the proportion equation
51,109 : 111,722 = 111,722 : x - Step 2: Convert to fraction form
51,109/111,722 = 111,722/x - Step 3: Cross multiply
51,109x = 111,722 × 111,722 - Step 4: Simplify right side
51,109x = 12,481,805,284 - Step 5: Solve for x
x = 12,481,805,284/51,109 - Step 6: Final answer
x = 244,219.32
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.