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Finding the Third Proportional to 378,513.32 and 833,836.46

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Solution

The third proportional to 378,513.32 and 833,836.46 is: 1,836,879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,513.32 : 833,836.46 = 833,836.46 : x
  2. Step 2: Convert to fraction form
    378,513.32/833,836.46 = 833,836.46/x
  3. Step 3: Cross multiply
    378,513.32x = 833,836.46 × 833,836.46
  4. Step 4: Simplify right side
    378,513.32x = 695,283,250,103.07
  5. Step 5: Solve for x
    x = 695,283,250,103.07/378,513.32
  6. Step 6: Final answer
    x = 1,836,879.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.