Finding the Third Proportional to 6,202.50 and 9,315.75
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Solution
The third proportional to 6,202.50 and 9,315.75 is: 13,991.65
Step by Step Solution
- Step 1: Write the proportion equation
6,202.50 : 9,315.75 = 9,315.75 : x - Step 2: Convert to fraction form
6,202.50/9,315.75 = 9,315.75/x - Step 3: Cross multiply
6,202.50x = 9,315.75 × 9,315.75 - Step 4: Simplify right side
6,202.50x = 86,783,198.06 - Step 5: Solve for x
x = 86,783,198.06/6,202.50 - Step 6: Final answer
x = 13,991.65
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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.