Finding the Third Proportional to 20,490 and 32,003
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Solution
The third proportional to 20,490 and 32,003 is: 49,984.97
Step by Step Solution
- Step 1: Write the proportion equation
20,490 : 32,003 = 32,003 : x - Step 2: Convert to fraction form
20,490/32,003 = 32,003/x - Step 3: Cross multiply
20,490x = 32,003 × 32,003 - Step 4: Simplify right side
20,490x = 1,024,192,009 - Step 5: Solve for x
x = 1,024,192,009/20,490 - Step 6: Final answer
x = 49,984.97
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.