Finding the Third Proportional to 102,980 and 225,643
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Solution
The third proportional to 102,980 and 225,643 is: 494,414.09
Step by Step Solution
- Step 1: Write the proportion equation
102,980 : 225,643 = 225,643 : x - Step 2: Convert to fraction form
102,980/225,643 = 225,643/x - Step 3: Cross multiply
102,980x = 225,643 × 225,643 - Step 4: Simplify right side
102,980x = 50,914,763,449 - Step 5: Solve for x
x = 50,914,763,449/102,980 - Step 6: Final answer
x = 494,414.09
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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.