Finding the Third Proportional to 830 and 1,104
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Solution
The third proportional to 830 and 1,104 is: 1,468.45
Step by Step Solution
- Step 1: Write the proportion equation
830 : 1,104 = 1,104 : x - Step 2: Convert to fraction form
830/1,104 = 1,104/x - Step 3: Cross multiply
830x = 1,104 × 1,104 - Step 4: Simplify right side
830x = 1,218,816 - Step 5: Solve for x
x = 1,218,816/830 - Step 6: Final answer
x = 1,468.45
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.