Finding the Third Proportional to 76,743.75 and 157,291.13
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Solution
The third proportional to 76,743.75 and 157,291.13 is: 322,378.02
Step by Step Solution
- Step 1: Write the proportion equation
76,743.75 : 157,291.13 = 157,291.13 : x - Step 2: Convert to fraction form
76,743.75/157,291.13 = 157,291.13/x - Step 3: Cross multiply
76,743.75x = 157,291.13 × 157,291.13 - Step 4: Simplify right side
76,743.75x = 24,740,498,003.77 - Step 5: Solve for x
x = 24,740,498,003.77/76,743.75 - Step 6: Final answer
x = 322,378.02
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.