Finding the Third Proportional to 49,542,160 and 103,601,564
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Solution
The third proportional to 49,542,160 and 103,601,564 is: 216,649,497.38
Step by Step Solution
- Step 1: Write the proportion equation
49,542,160 : 103,601,564 = 103,601,564 : x - Step 2: Convert to fraction form
49,542,160/103,601,564 = 103,601,564/x - Step 3: Cross multiply
49,542,160x = 103,601,564 × 103,601,564 - Step 4: Simplify right side
49,542,160x = 10,733,284,063,246,096 - Step 5: Solve for x
x = 10,733,284,063,246,096/49,542,160 - Step 6: Final answer
x = 216,649,497.38
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.