Finding the Third Proportional to 10,448 and 14,643.75
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Solution
The third proportional to 10,448 and 14,643.75 is: 20,524.45
Step by Step Solution
- Step 1: Write the proportion equation
10,448 : 14,643.75 = 14,643.75 : x - Step 2: Convert to fraction form
10,448/14,643.75 = 14,643.75/x - Step 3: Cross multiply
10,448x = 14,643.75 × 14,643.75 - Step 4: Simplify right side
10,448x = 214,439,414.06 - Step 5: Solve for x
x = 214,439,414.06/10,448 - Step 6: Final answer
x = 20,524.45
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.