Finding the Third Proportional to 846 and 919.69
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Solution
The third proportional to 846 and 919.69 is: 999.79
Step by Step Solution
- Step 1: Write the proportion equation
846 : 919.69 = 919.69 : x - Step 2: Convert to fraction form
846/919.69 = 919.69/x - Step 3: Cross multiply
846x = 919.69 × 919.69 - Step 4: Simplify right side
846x = 845,825.10 - Step 5: Solve for x
x = 845,825.10/846 - Step 6: Final answer
x = 999.79
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.