Finding the Third Proportional to 145,516.50 and 205,395.75
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Solution
The third proportional to 145,516.50 and 205,395.75 is: 289,914.99
Step by Step Solution
- Step 1: Write the proportion equation
145,516.50 : 205,395.75 = 205,395.75 : x - Step 2: Convert to fraction form
145,516.50/205,395.75 = 205,395.75/x - Step 3: Cross multiply
145,516.50x = 205,395.75 × 205,395.75 - Step 4: Simplify right side
145,516.50x = 42,187,414,118.06 - Step 5: Solve for x
x = 42,187,414,118.06/145,516.50 - Step 6: Final answer
x = 289,914.99
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.