Finding the Third Proportional to 5,225 and 7,747
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Solution
The third proportional to 5,225 and 7,747 is: 11,486.32
Step by Step Solution
- Step 1: Write the proportion equation
5,225 : 7,747 = 7,747 : x - Step 2: Convert to fraction form
5,225/7,747 = 7,747/x - Step 3: Cross multiply
5,225x = 7,747 × 7,747 - Step 4: Simplify right side
5,225x = 60,016,009 - Step 5: Solve for x
x = 60,016,009/5,225 - Step 6: Final answer
x = 11,486.32
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Why These Related Problems?
These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.