Finding the Third Proportional to 1,878.19 and 2,409.75
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Solution
The third proportional to 1,878.19 and 2,409.75 is: 3,091.75
Step by Step Solution
- Step 1: Write the proportion equation
1,878.19 : 2,409.75 = 2,409.75 : x - Step 2: Convert to fraction form
1,878.19/2,409.75 = 2,409.75/x - Step 3: Cross multiply
1,878.19x = 2,409.75 × 2,409.75 - Step 4: Simplify right side
1,878.19x = 5,806,895.06 - Step 5: Solve for x
x = 5,806,895.06/1,878.19 - Step 6: Final answer
x = 3,091.75
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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.