Finding the Third Proportional to 7,878 and 8,610
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Solution
The third proportional to 7,878 and 8,610 is: 9,410.02
Step by Step Solution
- Step 1: Write the proportion equation
7,878 : 8,610 = 8,610 : x - Step 2: Convert to fraction form
7,878/8,610 = 8,610/x - Step 3: Cross multiply
7,878x = 8,610 × 8,610 - Step 4: Simplify right side
7,878x = 74,132,100 - Step 5: Solve for x
x = 74,132,100/7,878 - Step 6: Final answer
x = 9,410.02
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.