Finding the Third Proportional to 805 and 1,438
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Solution
The third proportional to 805 and 1,438 is: 2,568.75
Step by Step Solution
- Step 1: Write the proportion equation
805 : 1,438 = 1,438 : x - Step 2: Convert to fraction form
805/1,438 = 1,438/x - Step 3: Cross multiply
805x = 1,438 × 1,438 - Step 4: Simplify right side
805x = 2,067,844 - Step 5: Solve for x
x = 2,067,844/805 - Step 6: Final answer
x = 2,568.75
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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.