Finding the Third Proportional to 75,783.75 and 115,977.75
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Solution
The third proportional to 75,783.75 and 115,977.75 is: 177,489.75
Step by Step Solution
- Step 1: Write the proportion equation
75,783.75 : 115,977.75 = 115,977.75 : x - Step 2: Convert to fraction form
75,783.75/115,977.75 = 115,977.75/x - Step 3: Cross multiply
75,783.75x = 115,977.75 × 115,977.75 - Step 4: Simplify right side
75,783.75x = 13,450,838,495.06 - Step 5: Solve for x
x = 13,450,838,495.06/75,783.75 - Step 6: Final answer
x = 177,489.75
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.