Finding the Third Proportional to 642 and 876
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Solution
The third proportional to 642 and 876 is: 1,195.29
Step by Step Solution
- Step 1: Write the proportion equation
642 : 876 = 876 : x - Step 2: Convert to fraction form
642/876 = 876/x - Step 3: Cross multiply
642x = 876 × 876 - Step 4: Simplify right side
642x = 767,376 - Step 5: Solve for x
x = 767,376/642 - Step 6: Final answer
x = 1,195.29
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.