Finding the Third Proportional to 43,740 and 102,798
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Solution
The third proportional to 43,740 and 102,798 is: 241,596.45
Step by Step Solution
- Step 1: Write the proportion equation
43,740 : 102,798 = 102,798 : x - Step 2: Convert to fraction form
43,740/102,798 = 102,798/x - Step 3: Cross multiply
43,740x = 102,798 × 102,798 - Step 4: Simplify right side
43,740x = 10,567,428,804 - Step 5: Solve for x
x = 10,567,428,804/43,740 - Step 6: Final answer
x = 241,596.45
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Why These Related Problems?
These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.