Finding the Third Proportional to 75,765 and 115,954.50
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Solution
The third proportional to 75,765 and 115,954.50 is: 177,462.50
Step by Step Solution
- Step 1: Write the proportion equation
75,765 : 115,954.50 = 115,954.50 : x - Step 2: Convert to fraction form
75,765/115,954.50 = 115,954.50/x - Step 3: Cross multiply
75,765x = 115,954.50 × 115,954.50 - Step 4: Simplify right side
75,765x = 13,445,446,070.25 - Step 5: Solve for x
x = 13,445,446,070.25/75,765 - Step 6: Final answer
x = 177,462.50
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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.