Finding the Third Proportional to 7,842.75 and 16,821.75
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Solution
The third proportional to 7,842.75 and 16,821.75 is: 36,080.62
Step by Step Solution
- Step 1: Write the proportion equation
7,842.75 : 16,821.75 = 16,821.75 : x - Step 2: Convert to fraction form
7,842.75/16,821.75 = 16,821.75/x - Step 3: Cross multiply
7,842.75x = 16,821.75 × 16,821.75 - Step 4: Simplify right side
7,842.75x = 282,971,273.06 - Step 5: Solve for x
x = 282,971,273.06/7,842.75 - Step 6: Final answer
x = 36,080.62
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.