Finding the Third Proportional to 440 and 824.50
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Solution
The third proportional to 440 and 824.50 is: 1,545.00
Step by Step Solution
- Step 1: Write the proportion equation
440 : 824.50 = 824.50 : x - Step 2: Convert to fraction form
440/824.50 = 824.50/x - Step 3: Cross multiply
440x = 824.50 × 824.50 - Step 4: Simplify right side
440x = 679,800.25 - Step 5: Solve for x
x = 679,800.25/440 - Step 6: Final answer
x = 1,545.00
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Why These Related Problems?
These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.