Finding the Third Proportional to 7,853 and 9,005
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Solution
The third proportional to 7,853 and 9,005 is: 10,325.99
Step by Step Solution
- Step 1: Write the proportion equation
7,853 : 9,005 = 9,005 : x - Step 2: Convert to fraction form
7,853/9,005 = 9,005/x - Step 3: Cross multiply
7,853x = 9,005 × 9,005 - Step 4: Simplify right side
7,853x = 81,090,025 - Step 5: Solve for x
x = 81,090,025/7,853 - Step 6: Final answer
x = 10,325.99
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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.