Finding the Third Proportional to 4,864 and 9,120
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Solution
The third proportional to 4,864 and 9,120 is: 17,100
Step by Step Solution
- Step 1: Write the proportion equation
4,864 : 9,120 = 9,120 : x - Step 2: Convert to fraction form
4,864/9,120 = 9,120/x - Step 3: Cross multiply
4,864x = 9,120 × 9,120 - Step 4: Simplify right side
4,864x = 83,174,400 - Step 5: Solve for x
x = 83,174,400/4,864 - Step 6: Final answer
x = 17,100
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Why These Related Problems?
These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.