Finding the Third Proportional to 9,998 and 21,724
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Solution
The third proportional to 9,998 and 21,724 is: 47,202.66
Step by Step Solution
- Step 1: Write the proportion equation
9,998 : 21,724 = 21,724 : x - Step 2: Convert to fraction form
9,998/21,724 = 21,724/x - Step 3: Cross multiply
9,998x = 21,724 × 21,724 - Step 4: Simplify right side
9,998x = 471,932,176 - Step 5: Solve for x
x = 471,932,176/9,998 - Step 6: Final answer
x = 47,202.66
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.