Finding the Third Proportional to 10,044 and 14,782.50
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Solution
The third proportional to 10,044 and 14,782.50 is: 21,756.50
Step by Step Solution
- Step 1: Write the proportion equation
10,044 : 14,782.50 = 14,782.50 : x - Step 2: Convert to fraction form
10,044/14,782.50 = 14,782.50/x - Step 3: Cross multiply
10,044x = 14,782.50 × 14,782.50 - Step 4: Simplify right side
10,044x = 218,522,306.25 - Step 5: Solve for x
x = 218,522,306.25/10,044 - Step 6: Final answer
x = 21,756.50
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.