Finding the Third Proportional to 7,623 and 9,009
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Solution
The third proportional to 7,623 and 9,009 is: 10,647
Step by Step Solution
- Step 1: Write the proportion equation
7,623 : 9,009 = 9,009 : x - Step 2: Convert to fraction form
7,623/9,009 = 9,009/x - Step 3: Cross multiply
7,623x = 9,009 × 9,009 - Step 4: Simplify right side
7,623x = 81,162,081 - Step 5: Solve for x
x = 81,162,081/7,623 - Step 6: Final answer
x = 10,647
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Why These Related Problems?
These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.