Finding the Third Proportional to 817 and 1,104
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Solution
The third proportional to 817 and 1,104 is: 1,491.82
Step by Step Solution
- Step 1: Write the proportion equation
817 : 1,104 = 1,104 : x - Step 2: Convert to fraction form
817/1,104 = 1,104/x - Step 3: Cross multiply
817x = 1,104 × 1,104 - Step 4: Simplify right side
817x = 1,218,816 - Step 5: Solve for x
x = 1,218,816/817 - Step 6: Final answer
x = 1,491.82
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.