Finding the Third Proportional to 9,975 and 21,894
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Solution
The third proportional to 9,975 and 21,894 is: 48,054.86
Step by Step Solution
- Step 1: Write the proportion equation
9,975 : 21,894 = 21,894 : x - Step 2: Convert to fraction form
9,975/21,894 = 21,894/x - Step 3: Cross multiply
9,975x = 21,894 × 21,894 - Step 4: Simplify right side
9,975x = 479,347,236 - Step 5: Solve for x
x = 479,347,236/9,975 - Step 6: Final answer
x = 48,054.86
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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.