Finding the Third Proportional to 761 and 1,776
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Solution
The third proportional to 761 and 1,776 is: 4,144.78
Step by Step Solution
- Step 1: Write the proportion equation
761 : 1,776 = 1,776 : x - Step 2: Convert to fraction form
761/1,776 = 1,776/x - Step 3: Cross multiply
761x = 1,776 × 1,776 - Step 4: Simplify right side
761x = 3,154,176 - Step 5: Solve for x
x = 3,154,176/761 - Step 6: Final answer
x = 4,144.78
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.