Finding the Third Proportional to 100,829.81 and 141,312.09
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Solution
The third proportional to 100,829.81 and 141,312.09 is: 198,047.65
Step by Step Solution
- Step 1: Write the proportion equation
100,829.81 : 141,312.09 = 141,312.09 : x - Step 2: Convert to fraction form
100,829.81/141,312.09 = 141,312.09/x - Step 3: Cross multiply
100,829.81x = 141,312.09 × 141,312.09 - Step 4: Simplify right side
100,829.81x = 19,969,107,840.01 - Step 5: Solve for x
x = 19,969,107,840.01/100,829.81 - Step 6: Final answer
x = 198,047.65
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.