Finding the Third Proportional to 3,024 and 3,780
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Solution
The third proportional to 3,024 and 3,780 is: 4,725
Step by Step Solution
- Step 1: Write the proportion equation
3,024 : 3,780 = 3,780 : x - Step 2: Convert to fraction form
3,024/3,780 = 3,780/x - Step 3: Cross multiply
3,024x = 3,780 × 3,780 - Step 4: Simplify right side
3,024x = 14,288,400 - Step 5: Solve for x
x = 14,288,400/3,024 - Step 6: Final answer
x = 4,725
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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.