Finding the Third Proportional to 7,645.78 and 10,767.09
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Solution
The third proportional to 7,645.78 and 10,767.09 is: 15,162.65
Step by Step Solution
- Step 1: Write the proportion equation
7,645.78 : 10,767.09 = 10,767.09 : x - Step 2: Convert to fraction form
7,645.78/10,767.09 = 10,767.09/x - Step 3: Cross multiply
7,645.78x = 10,767.09 × 10,767.09 - Step 4: Simplify right side
7,645.78x = 115,930,307.82 - Step 5: Solve for x
x = 115,930,307.82/7,645.78 - Step 6: Final answer
x = 15,162.65
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.