Finding the Third Proportional to 7,776 and 17,000
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Solution
The third proportional to 7,776 and 17,000 is: 37,165.64
Step by Step Solution
- Step 1: Write the proportion equation
7,776 : 17,000 = 17,000 : x - Step 2: Convert to fraction form
7,776/17,000 = 17,000/x - Step 3: Cross multiply
7,776x = 17,000 × 17,000 - Step 4: Simplify right side
7,776x = 289,000,000 - Step 5: Solve for x
x = 289,000,000/7,776 - Step 6: Final answer
x = 37,165.64
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.