Finding the Third Proportional to 1,055 and 1,582.50
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Solution
The third proportional to 1,055 and 1,582.50 is: 2,373.75
Step by Step Solution
- Step 1: Write the proportion equation
1,055 : 1,582.50 = 1,582.50 : x - Step 2: Convert to fraction form
1,055/1,582.50 = 1,582.50/x - Step 3: Cross multiply
1,055x = 1,582.50 × 1,582.50 - Step 4: Simplify right side
1,055x = 2,504,306.25 - Step 5: Solve for x
x = 2,504,306.25/1,055 - Step 6: Final answer
x = 2,373.75
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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.