Finding the Third Proportional to 29 and 78
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Solution
The third proportional to 29 and 78 is: 209.79
Step by Step Solution
- Step 1: Write the proportion equation
29 : 78 = 78 : x - Step 2: Convert to fraction form
29/78 = 78/x - Step 3: Cross multiply
29x = 78 × 78 - Step 4: Simplify right side
29x = 6,084 - Step 5: Solve for x
x = 6,084/29 - Step 6: Final answer
x = 209.79
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Why These Related Problems?
These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.