Finding the Third Proportional to 1,212.19 and 1,405.97
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Solution
The third proportional to 1,212.19 and 1,405.97 is: 1,630.73
Step by Step Solution
- Step 1: Write the proportion equation
1,212.19 : 1,405.97 = 1,405.97 : x - Step 2: Convert to fraction form
1,212.19/1,405.97 = 1,405.97/x - Step 3: Cross multiply
1,212.19x = 1,405.97 × 1,405.97 - Step 4: Simplify right side
1,212.19x = 1,976,748.13 - Step 5: Solve for x
x = 1,976,748.13/1,212.19 - Step 6: Final answer
x = 1,630.73
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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.