Finding the Third Proportional to 960 and 1,068
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Solution
The third proportional to 960 and 1,068 is: 1,188.15
Step by Step Solution
- Step 1: Write the proportion equation
960 : 1,068 = 1,068 : x - Step 2: Convert to fraction form
960/1,068 = 1,068/x - Step 3: Cross multiply
960x = 1,068 × 1,068 - Step 4: Simplify right side
960x = 1,140,624 - Step 5: Solve for x
x = 1,140,624/960 - Step 6: Final answer
x = 1,188.15
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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.