Finding the Third Proportional to 478 and 1,004
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Solution
The third proportional to 478 and 1,004 is: 2,108.82
Step by Step Solution
- Step 1: Write the proportion equation
478 : 1,004 = 1,004 : x - Step 2: Convert to fraction form
478/1,004 = 1,004/x - Step 3: Cross multiply
478x = 1,004 × 1,004 - Step 4: Simplify right side
478x = 1,008,016 - Step 5: Solve for x
x = 1,008,016/478 - Step 6: Final answer
x = 2,108.82
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.