Finding the Third Proportional to 211,785,452,190 and 453,784,879,776
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Solution
The third proportional to 211,785,452,190 and 453,784,879,776 is: 972,308,130,629.20
Step by Step Solution
- Step 1: Write the proportion equation
211,785,452,190 : 453,784,879,776 = 453,784,879,776 : x - Step 2: Convert to fraction form
211,785,452,190/453,784,879,776 = 453,784,879,776/x - Step 3: Cross multiply
211,785,452,190x = 453,784,879,776 × 453,784,879,776 - Step 4: Simplify right side
211,785,452,190x = 205,920,717,113,318,761,824,256 - Step 5: Solve for x
x = 205,920,717,113,318,761,824,256/211,785,452,190 - Step 6: Final answer
x = 972,308,130,629.20
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.