Finding the Third Proportional to 47,687.48 and 102,756.09
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Solution
The third proportional to 47,687.48 and 102,756.09 is: 221,416.90
Step by Step Solution
- Step 1: Write the proportion equation
47,687.48 : 102,756.09 = 102,756.09 : x - Step 2: Convert to fraction form
47,687.48/102,756.09 = 102,756.09/x - Step 3: Cross multiply
47,687.48x = 102,756.09 × 102,756.09 - Step 4: Simplify right side
47,687.48x = 10,558,814,802.76 - Step 5: Solve for x
x = 10,558,814,802.76/47,687.48 - Step 6: Final answer
x = 221,416.90
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.