Finding the Third Proportional to 299,727.84 and 647,434.97
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Solution
The third proportional to 299,727.84 and 647,434.97 is: 1,398,508.84
Step by Step Solution
- Step 1: Write the proportion equation
299,727.84 : 647,434.97 = 647,434.97 : x - Step 2: Convert to fraction form
299,727.84/647,434.97 = 647,434.97/x - Step 3: Cross multiply
299,727.84x = 647,434.97 × 647,434.97 - Step 4: Simplify right side
299,727.84x = 419,172,038,760.31 - Step 5: Solve for x
x = 419,172,038,760.31/299,727.84 - Step 6: Final answer
x = 1,398,508.84
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.