Finding the Third Proportional to 19,831.50 and 32,670
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Solution
The third proportional to 19,831.50 and 32,670 is: 53,819.88
Step by Step Solution
- Step 1: Write the proportion equation
19,831.50 : 32,670 = 32,670 : x - Step 2: Convert to fraction form
19,831.50/32,670 = 32,670/x - Step 3: Cross multiply
19,831.50x = 32,670 × 32,670 - Step 4: Simplify right side
19,831.50x = 1,067,328,900 - Step 5: Solve for x
x = 1,067,328,900/19,831.50 - Step 6: Final answer
x = 53,819.88
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Why These Related Problems?
These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.