Finding the Third Proportional to 75,309.75 and 165,174.19
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Solution
The third proportional to 75,309.75 and 165,174.19 is: 362,270.65
Step by Step Solution
- Step 1: Write the proportion equation
75,309.75 : 165,174.19 = 165,174.19 : x - Step 2: Convert to fraction form
75,309.75/165,174.19 = 165,174.19/x - Step 3: Cross multiply
75,309.75x = 165,174.19 × 165,174.19 - Step 4: Simplify right side
75,309.75x = 27,282,512,216.29 - Step 5: Solve for x
x = 27,282,512,216.29/75,309.75 - Step 6: Final answer
x = 362,270.65
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.