Finding the Third Proportional to 256,193.30 and 382,878.14
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Solution
The third proportional to 256,193.30 and 382,878.14 is: 572,207.28
Step by Step Solution
- Step 1: Write the proportion equation
256,193.30 : 382,878.14 = 382,878.14 : x - Step 2: Convert to fraction form
256,193.30/382,878.14 = 382,878.14/x - Step 3: Cross multiply
256,193.30x = 382,878.14 × 382,878.14 - Step 4: Simplify right side
256,193.30x = 146,595,670,568.46 - Step 5: Solve for x
x = 146,595,670,568.46/256,193.30 - Step 6: Final answer
x = 572,207.28
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.