Finding the Third Proportional to 1,403 and 2,104.50
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Solution
The third proportional to 1,403 and 2,104.50 is: 3,156.75
Step by Step Solution
- Step 1: Write the proportion equation
1,403 : 2,104.50 = 2,104.50 : x - Step 2: Convert to fraction form
1,403/2,104.50 = 2,104.50/x - Step 3: Cross multiply
1,403x = 2,104.50 × 2,104.50 - Step 4: Simplify right side
1,403x = 4,428,920.25 - Step 5: Solve for x
x = 4,428,920.25/1,403 - Step 6: Final answer
x = 3,156.75
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.