Finding the Third Proportional to 47,709 and 103,619
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Solution
The third proportional to 47,709 and 103,619 is: 225,049.72
Step by Step Solution
- Step 1: Write the proportion equation
47,709 : 103,619 = 103,619 : x - Step 2: Convert to fraction form
47,709/103,619 = 103,619/x - Step 3: Cross multiply
47,709x = 103,619 × 103,619 - Step 4: Simplify right side
47,709x = 10,736,897,161 - Step 5: Solve for x
x = 10,736,897,161/47,709 - Step 6: Final answer
x = 225,049.72
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.