Finding the Third Proportional to 306,138,838.50 and 471,190,743
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Solution
The third proportional to 306,138,838.50 and 471,190,743 is: 725,228,845.11
Step by Step Solution
- Step 1: Write the proportion equation
306,138,838.50 : 471,190,743 = 471,190,743 : x - Step 2: Convert to fraction form
306,138,838.50/471,190,743 = 471,190,743/x - Step 3: Cross multiply
306,138,838.50x = 471,190,743 × 471,190,743 - Step 4: Simplify right side
306,138,838.50x = 222,020,716,288,892,064 - Step 5: Solve for x
x = 222,020,716,288,892,064/306,138,838.50 - Step 6: Final answer
x = 725,228,845.11
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.