Finding the Third Proportional to 17,830 and 27,719
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Solution
The third proportional to 17,830 and 27,719 is: 43,092.71
Step by Step Solution
- Step 1: Write the proportion equation
17,830 : 27,719 = 27,719 : x - Step 2: Convert to fraction form
17,830/27,719 = 27,719/x - Step 3: Cross multiply
17,830x = 27,719 × 27,719 - Step 4: Simplify right side
17,830x = 768,342,961 - Step 5: Solve for x
x = 768,342,961/17,830 - Step 6: Final answer
x = 43,092.71
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.