Finding the Third Proportional to 854 and 1,831
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Solution
The third proportional to 854 and 1,831 is: 3,925.72
Step by Step Solution
- Step 1: Write the proportion equation
854 : 1,831 = 1,831 : x - Step 2: Convert to fraction form
854/1,831 = 1,831/x - Step 3: Cross multiply
854x = 1,831 × 1,831 - Step 4: Simplify right side
854x = 3,352,561 - Step 5: Solve for x
x = 3,352,561/854 - Step 6: Final answer
x = 3,925.72
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.