Finding the Third Proportional to 854.25 and 1,281.38
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Solution
The third proportional to 854.25 and 1,281.38 is: 1,922.06
Step by Step Solution
- Step 1: Write the proportion equation
854.25 : 1,281.38 = 1,281.38 : x - Step 2: Convert to fraction form
854.25/1,281.38 = 1,281.38/x - Step 3: Cross multiply
854.25x = 1,281.38 × 1,281.38 - Step 4: Simplify right side
854.25x = 1,641,921.89 - Step 5: Solve for x
x = 1,641,921.89/854.25 - Step 6: Final answer
x = 1,922.06
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.