Finding the Third Proportional to 206,439.75 and 317,409.75
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Solution
The third proportional to 206,439.75 and 317,409.75 is: 488,030.77
Step by Step Solution
- Step 1: Write the proportion equation
206,439.75 : 317,409.75 = 317,409.75 : x - Step 2: Convert to fraction form
206,439.75/317,409.75 = 317,409.75/x - Step 3: Cross multiply
206,439.75x = 317,409.75 × 317,409.75 - Step 4: Simplify right side
206,439.75x = 100,748,949,395.06 - Step 5: Solve for x
x = 100,748,949,395.06/206,439.75 - Step 6: Final answer
x = 488,030.77
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.