Finding the Third Proportional to 392 and 1,006
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Solution
The third proportional to 392 and 1,006 is: 2,581.72
Step by Step Solution
- Step 1: Write the proportion equation
392 : 1,006 = 1,006 : x - Step 2: Convert to fraction form
392/1,006 = 1,006/x - Step 3: Cross multiply
392x = 1,006 × 1,006 - Step 4: Simplify right side
392x = 1,012,036 - Step 5: Solve for x
x = 1,012,036/392 - Step 6: Final answer
x = 2,581.72
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These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.