Finding the Third Proportional to 8,407.13 and 11,782.13
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Solution
The third proportional to 8,407.13 and 11,782.13 is: 16,512.00
Step by Step Solution
- Step 1: Write the proportion equation
8,407.13 : 11,782.13 = 11,782.13 : x - Step 2: Convert to fraction form
8,407.13/11,782.13 = 11,782.13/x - Step 3: Cross multiply
8,407.13x = 11,782.13 × 11,782.13 - Step 4: Simplify right side
8,407.13x = 138,818,469.52 - Step 5: Solve for x
x = 138,818,469.52/8,407.13 - Step 6: Final answer
x = 16,512.00
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.