Finding the Third Proportional to 100,456 and 214,240
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Solution
The third proportional to 100,456 and 214,240 is: 456,904.29
Step by Step Solution
- Step 1: Write the proportion equation
100,456 : 214,240 = 214,240 : x - Step 2: Convert to fraction form
100,456/214,240 = 214,240/x - Step 3: Cross multiply
100,456x = 214,240 × 214,240 - Step 4: Simplify right side
100,456x = 45,898,777,600 - Step 5: Solve for x
x = 45,898,777,600/100,456 - Step 6: Final answer
x = 456,904.29
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.