Finding the Third Proportional to 9,750 and 14,899.50
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Solution
The third proportional to 9,750 and 14,899.50 is: 22,768.73
Step by Step Solution
- Step 1: Write the proportion equation
9,750 : 14,899.50 = 14,899.50 : x - Step 2: Convert to fraction form
9,750/14,899.50 = 14,899.50/x - Step 3: Cross multiply
9,750x = 14,899.50 × 14,899.50 - Step 4: Simplify right side
9,750x = 221,995,100.25 - Step 5: Solve for x
x = 221,995,100.25/9,750 - Step 6: Final answer
x = 22,768.73
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.