Finding the Third Proportional to 2,450.75 and 5,780.75
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Solution
The third proportional to 2,450.75 and 5,780.75 is: 13,635.45
Step by Step Solution
- Step 1: Write the proportion equation
2,450.75 : 5,780.75 = 5,780.75 : x - Step 2: Convert to fraction form
2,450.75/5,780.75 = 5,780.75/x - Step 3: Cross multiply
2,450.75x = 5,780.75 × 5,780.75 - Step 4: Simplify right side
2,450.75x = 33,417,070.56 - Step 5: Solve for x
x = 33,417,070.56/2,450.75 - Step 6: Final answer
x = 13,635.45
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.