Finding the Third Proportional to 411,782.50 and 889,175
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Solution
The third proportional to 411,782.50 and 889,175 is: 1,920,023.75
Step by Step Solution
- Step 1: Write the proportion equation
411,782.50 : 889,175 = 889,175 : x - Step 2: Convert to fraction form
411,782.50/889,175 = 889,175/x - Step 3: Cross multiply
411,782.50x = 889,175 × 889,175 - Step 4: Simplify right side
411,782.50x = 790,632,180,625 - Step 5: Solve for x
x = 790,632,180,625/411,782.50 - Step 6: Final answer
x = 1,920,023.75
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.