Finding the Third Proportional to 4,560 and 5,478
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Solution
The third proportional to 4,560 and 5,478 is: 6,580.81
Step by Step Solution
- Step 1: Write the proportion equation
4,560 : 5,478 = 5,478 : x - Step 2: Convert to fraction form
4,560/5,478 = 5,478/x - Step 3: Cross multiply
4,560x = 5,478 × 5,478 - Step 4: Simplify right side
4,560x = 30,008,484 - Step 5: Solve for x
x = 30,008,484/4,560 - Step 6: Final answer
x = 6,580.81
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.