Finding the Third Proportional to 905 and 1,039
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Solution
The third proportional to 905 and 1,039 is: 1,192.84
Step by Step Solution
- Step 1: Write the proportion equation
905 : 1,039 = 1,039 : x - Step 2: Convert to fraction form
905/1,039 = 1,039/x - Step 3: Cross multiply
905x = 1,039 × 1,039 - Step 4: Simplify right side
905x = 1,079,521 - Step 5: Solve for x
x = 1,079,521/905 - Step 6: Final answer
x = 1,192.84
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.