Finding the Third Proportional to 7,977 and 9,177
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Solution
The third proportional to 7,977 and 9,177 is: 10,557.52
Step by Step Solution
- Step 1: Write the proportion equation
7,977 : 9,177 = 9,177 : x - Step 2: Convert to fraction form
7,977/9,177 = 9,177/x - Step 3: Cross multiply
7,977x = 9,177 × 9,177 - Step 4: Simplify right side
7,977x = 84,217,329 - Step 5: Solve for x
x = 84,217,329/7,977 - Step 6: Final answer
x = 10,557.52
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Why These Related Problems?
These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.