Finding the Third Proportional to 201,497,195,162 and 440,952,218,932
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Solution
The third proportional to 201,497,195,162 and 440,952,218,932 is: 964,970,550,705.33
Step by Step Solution
- Step 1: Write the proportion equation
201,497,195,162 : 440,952,218,932 = 440,952,218,932 : x - Step 2: Convert to fraction form
201,497,195,162/440,952,218,932 = 440,952,218,932/x - Step 3: Cross multiply
201,497,195,162x = 440,952,218,932 × 440,952,218,932 - Step 4: Simplify right side
201,497,195,162x = 194,438,859,381,054,457,774,080 - Step 5: Solve for x
x = 194,438,859,381,054,457,774,080/201,497,195,162 - Step 6: Final answer
x = 964,970,550,705.33
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.