Finding the Third Proportional to 199,634,276,772 and 443,903,928,831
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Solution
The third proportional to 199,634,276,772 and 443,903,928,831 is: 987,058,441,154.61
Step by Step Solution
- Step 1: Write the proportion equation
199,634,276,772 : 443,903,928,831 = 443,903,928,831 : x - Step 2: Convert to fraction form
199,634,276,772/443,903,928,831 = 443,903,928,831/x - Step 3: Cross multiply
199,634,276,772x = 443,903,928,831 × 443,903,928,831 - Step 4: Simplify right side
199,634,276,772x = 197,050,698,031,597,506,002,944 - Step 5: Solve for x
x = 197,050,698,031,597,506,002,944/199,634,276,772 - Step 6: Final answer
x = 987,058,441,154.61
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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.