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Finding the Third Proportional to 380,786.25 and 810,474

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Solution

The third proportional to 380,786.25 and 810,474 is: 1,725,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,786.25 : 810,474 = 810,474 : x
  2. Step 2: Convert to fraction form
    380,786.25/810,474 = 810,474/x
  3. Step 3: Cross multiply
    380,786.25x = 810,474 × 810,474
  4. Step 4: Simplify right side
    380,786.25x = 656,868,104,676
  5. Step 5: Solve for x
    x = 656,868,104,676/380,786.25
  6. Step 6: Final answer
    x = 1,725,031.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.