Finding the Third Proportional to 214,008.19 and 320,343.75
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Solution
The third proportional to 214,008.19 and 320,343.75 is: 479,514.92
Step by Step Solution
- Step 1: Write the proportion equation
214,008.19 : 320,343.75 = 320,343.75 : x - Step 2: Convert to fraction form
214,008.19/320,343.75 = 320,343.75/x - Step 3: Cross multiply
214,008.19x = 320,343.75 × 320,343.75 - Step 4: Simplify right side
214,008.19x = 102,620,118,164.06 - Step 5: Solve for x
x = 102,620,118,164.06/214,008.19 - Step 6: Final answer
x = 479,514.92
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.