Finding the Third Proportional to 82,006,411 and 180,728,335
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Solution
The third proportional to 82,006,411 and 180,728,335 is: 398,294,848.82
Step by Step Solution
- Step 1: Write the proportion equation
82,006,411 : 180,728,335 = 180,728,335 : x - Step 2: Convert to fraction form
82,006,411/180,728,335 = 180,728,335/x - Step 3: Cross multiply
82,006,411x = 180,728,335 × 180,728,335 - Step 4: Simplify right side
82,006,411x = 32,662,731,071,872,224 - Step 5: Solve for x
x = 32,662,731,071,872,224/82,006,411 - Step 6: Final answer
x = 398,294,848.82
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.