Finding the Third Proportional to 199,634,276,770 and 443,903,928,823
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Solution
The third proportional to 199,634,276,770 and 443,903,928,823 is: 987,058,441,128.92
Step by Step Solution
- Step 1: Write the proportion equation
199,634,276,770 : 443,903,928,823 = 443,903,928,823 : x - Step 2: Convert to fraction form
199,634,276,770/443,903,928,823 = 443,903,928,823/x - Step 3: Cross multiply
199,634,276,770x = 443,903,928,823 × 443,903,928,823 - Step 4: Simplify right side
199,634,276,770x = 197,050,698,024,495,039,381,504 - Step 5: Solve for x
x = 197,050,698,024,495,039,381,504/199,634,276,770 - Step 6: Final answer
x = 987,058,441,128.92
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.