Finding the Third Proportional to 120,155,620,267.50 and 250,199,546,221.50
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Solution
The third proportional to 120,155,620,267.50 and 250,199,546,221.50 is: 520,989,470,072.89
Step by Step Solution
- Step 1: Write the proportion equation
120,155,620,267.50 : 250,199,546,221.50 = 250,199,546,221.50 : x - Step 2: Convert to fraction form
120,155,620,267.50/250,199,546,221.50 = 250,199,546,221.50/x - Step 3: Cross multiply
120,155,620,267.50x = 250,199,546,221.50 × 250,199,546,221.50 - Step 4: Simplify right side
120,155,620,267.50x = 62,599,812,929,444,514,889,728 - Step 5: Solve for x
x = 62,599,812,929,444,514,889,728/120,155,620,267.50 - Step 6: Final answer
x = 520,989,470,072.89
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.