Finding the Third Proportional to 896 and 1,311.50
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Solution
The third proportional to 896 and 1,311.50 is: 1,919.68
Step by Step Solution
- Step 1: Write the proportion equation
896 : 1,311.50 = 1,311.50 : x - Step 2: Convert to fraction form
896/1,311.50 = 1,311.50/x - Step 3: Cross multiply
896x = 1,311.50 × 1,311.50 - Step 4: Simplify right side
896x = 1,720,032.25 - Step 5: Solve for x
x = 1,720,032.25/896 - Step 6: Final answer
x = 1,919.68
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.