Finding the Third Proportional to 290,859.75 and 406,824.75
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Solution
The third proportional to 290,859.75 and 406,824.75 is: 569,024.68
Step by Step Solution
- Step 1: Write the proportion equation
290,859.75 : 406,824.75 = 406,824.75 : x - Step 2: Convert to fraction form
290,859.75/406,824.75 = 406,824.75/x - Step 3: Cross multiply
290,859.75x = 406,824.75 × 406,824.75 - Step 4: Simplify right side
290,859.75x = 165,506,377,212.56 - Step 5: Solve for x
x = 165,506,377,212.56/290,859.75 - Step 6: Final answer
x = 569,024.68
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.