Finding the Third Proportional to 869 and 1,410
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Solution
The third proportional to 869 and 1,410 is: 2,287.80
Step by Step Solution
- Step 1: Write the proportion equation
869 : 1,410 = 1,410 : x - Step 2: Convert to fraction form
869/1,410 = 1,410/x - Step 3: Cross multiply
869x = 1,410 × 1,410 - Step 4: Simplify right side
869x = 1,988,100 - Step 5: Solve for x
x = 1,988,100/869 - Step 6: Final answer
x = 2,287.80
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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.