Finding the Third Proportional to 157,555.13 and 206,808.19
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Solution
The third proportional to 157,555.13 and 206,808.19 is: 271,458.17
Step by Step Solution
- Step 1: Write the proportion equation
157,555.13 : 206,808.19 = 206,808.19 : x - Step 2: Convert to fraction form
157,555.13/206,808.19 = 206,808.19/x - Step 3: Cross multiply
157,555.13x = 206,808.19 × 206,808.19 - Step 4: Simplify right side
157,555.13x = 42,769,626,417.04 - Step 5: Solve for x
x = 42,769,626,417.04/157,555.13 - Step 6: Final answer
x = 271,458.17
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Why These Related Problems?
These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.