Finding the Third Proportional to 206,430.75 and 290,692.13
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Solution
The third proportional to 206,430.75 and 290,692.13 is: 409,347.50
Step by Step Solution
- Step 1: Write the proportion equation
206,430.75 : 290,692.13 = 290,692.13 : x - Step 2: Convert to fraction form
206,430.75/290,692.13 = 290,692.13/x - Step 3: Cross multiply
206,430.75x = 290,692.13 × 290,692.13 - Step 4: Simplify right side
206,430.75x = 84,501,911,537.02 - Step 5: Solve for x
x = 84,501,911,537.02/206,430.75 - Step 6: Final answer
x = 409,347.50
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.