Finding the Third Proportional to 21,074 and 31,667
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Solution
The third proportional to 21,074 and 31,667 is: 47,584.65
Step by Step Solution
- Step 1: Write the proportion equation
21,074 : 31,667 = 31,667 : x - Step 2: Convert to fraction form
21,074/31,667 = 31,667/x - Step 3: Cross multiply
21,074x = 31,667 × 31,667 - Step 4: Simplify right side
21,074x = 1,002,798,889 - Step 5: Solve for x
x = 1,002,798,889/21,074 - Step 6: Final answer
x = 47,584.65
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.