Finding the Third Proportional to 532,770,126,636 and 765,777,674,178
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Solution
The third proportional to 532,770,126,636 and 765,777,674,178 is: 1,100,691,305,595.89
Step by Step Solution
- Step 1: Write the proportion equation
532,770,126,636 : 765,777,674,178 = 765,777,674,178 : x - Step 2: Convert to fraction form
532,770,126,636/765,777,674,178 = 765,777,674,178/x - Step 3: Cross multiply
532,770,126,636x = 765,777,674,178 × 765,777,674,178 - Step 4: Simplify right side
532,770,126,636x = 586,415,446,269,467,134,263,296 - Step 5: Solve for x
x = 586,415,446,269,467,134,263,296/532,770,126,636 - Step 6: Final answer
x = 1,100,691,305,595.89
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.