Finding the Third Proportional to 1,424 and 3,748
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Solution
The third proportional to 1,424 and 3,748 is: 9,864.82
Step by Step Solution
- Step 1: Write the proportion equation
1,424 : 3,748 = 3,748 : x - Step 2: Convert to fraction form
1,424/3,748 = 3,748/x - Step 3: Cross multiply
1,424x = 3,748 × 3,748 - Step 4: Simplify right side
1,424x = 14,047,504 - Step 5: Solve for x
x = 14,047,504/1,424 - Step 6: Final answer
x = 9,864.82
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Why These Related Problems?
These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.