Finding the Third Proportional to 772 and 1,486
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Solution
The third proportional to 772 and 1,486 is: 2,860.36
Step by Step Solution
- Step 1: Write the proportion equation
772 : 1,486 = 1,486 : x - Step 2: Convert to fraction form
772/1,486 = 1,486/x - Step 3: Cross multiply
772x = 1,486 × 1,486 - Step 4: Simplify right side
772x = 2,208,196 - Step 5: Solve for x
x = 2,208,196/772 - Step 6: Final answer
x = 2,860.36
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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.