Finding the Third Proportional to 5,769.75 and 7,821.75
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Solution
The third proportional to 5,769.75 and 7,821.75 is: 10,603.54
Step by Step Solution
- Step 1: Write the proportion equation
5,769.75 : 7,821.75 = 7,821.75 : x - Step 2: Convert to fraction form
5,769.75/7,821.75 = 7,821.75/x - Step 3: Cross multiply
5,769.75x = 7,821.75 × 7,821.75 - Step 4: Simplify right side
5,769.75x = 61,179,773.06 - Step 5: Solve for x
x = 61,179,773.06/5,769.75 - Step 6: Final answer
x = 10,603.54
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.