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Finding the Third Proportional to 378,834 and 575,163

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Solution

The third proportional to 378,834 and 575,163 is: 873,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,834 : 575,163 = 575,163 : x
  2. Step 2: Convert to fraction form
    378,834/575,163 = 575,163/x
  3. Step 3: Cross multiply
    378,834x = 575,163 × 575,163
  4. Step 4: Simplify right side
    378,834x = 330,812,476,569
  5. Step 5: Solve for x
    x = 330,812,476,569/378,834
  6. Step 6: Final answer
    x = 873,238.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.