Finding the Third Proportional to 981,200 and 1,439,496
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Solution
The third proportional to 981,200 and 1,439,496 is: 2,111,851.54
Step by Step Solution
- Step 1: Write the proportion equation
981,200 : 1,439,496 = 1,439,496 : x - Step 2: Convert to fraction form
981,200/1,439,496 = 1,439,496/x - Step 3: Cross multiply
981,200x = 1,439,496 × 1,439,496 - Step 4: Simplify right side
981,200x = 2,072,148,734,016 - Step 5: Solve for x
x = 2,072,148,734,016/981,200 - Step 6: Final answer
x = 2,111,851.54
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.