Finding the Third Proportional to 20,644 and 31,064
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Solution
The third proportional to 20,644 and 31,064 is: 46,743.47
Step by Step Solution
- Step 1: Write the proportion equation
20,644 : 31,064 = 31,064 : x - Step 2: Convert to fraction form
20,644/31,064 = 31,064/x - Step 3: Cross multiply
20,644x = 31,064 × 31,064 - Step 4: Simplify right side
20,644x = 964,972,096 - Step 5: Solve for x
x = 964,972,096/20,644 - Step 6: Final answer
x = 46,743.47
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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.