Finding the Third Proportional to 82,982,500 and 121,783,296
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Solution
The third proportional to 82,982,500 and 121,783,296 is: 178,726,492.75
Step by Step Solution
- Step 1: Write the proportion equation
82,982,500 : 121,783,296 = 121,783,296 : x - Step 2: Convert to fraction form
82,982,500/121,783,296 = 121,783,296/x - Step 3: Cross multiply
82,982,500x = 121,783,296 × 121,783,296 - Step 4: Simplify right side
82,982,500x = 14,831,171,184,623,616 - Step 5: Solve for x
x = 14,831,171,184,623,616/82,982,500 - Step 6: Final answer
x = 178,726,492.75
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.