Finding the Third Proportional to 42,780 and 103,062
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Solution
The third proportional to 42,780 and 103,062 is: 248,288.36
Step by Step Solution
- Step 1: Write the proportion equation
42,780 : 103,062 = 103,062 : x - Step 2: Convert to fraction form
42,780/103,062 = 103,062/x - Step 3: Cross multiply
42,780x = 103,062 × 103,062 - Step 4: Simplify right side
42,780x = 10,621,775,844 - Step 5: Solve for x
x = 10,621,775,844/42,780 - Step 6: Final answer
x = 248,288.36
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.