Finding the Third Proportional to 82,437.75 and 176,539.50
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Solution
The third proportional to 82,437.75 and 176,539.50 is: 378,057.32
Step by Step Solution
- Step 1: Write the proportion equation
82,437.75 : 176,539.50 = 176,539.50 : x - Step 2: Convert to fraction form
82,437.75/176,539.50 = 176,539.50/x - Step 3: Cross multiply
82,437.75x = 176,539.50 × 176,539.50 - Step 4: Simplify right side
82,437.75x = 31,166,195,060.25 - Step 5: Solve for x
x = 31,166,195,060.25/82,437.75 - Step 6: Final answer
x = 378,057.32
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.