Finding the Third Proportional to 2,149.88 and 4,965.75
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Solution
The third proportional to 2,149.88 and 4,965.75 is: 11,469.82
Step by Step Solution
- Step 1: Write the proportion equation
2,149.88 : 4,965.75 = 4,965.75 : x - Step 2: Convert to fraction form
2,149.88/4,965.75 = 4,965.75/x - Step 3: Cross multiply
2,149.88x = 4,965.75 × 4,965.75 - Step 4: Simplify right side
2,149.88x = 24,658,673.06 - Step 5: Solve for x
x = 24,658,673.06/2,149.88 - Step 6: Final answer
x = 11,469.82
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.