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Finding the Third Proportional to 379,933.88 and 822,913.88

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Solution

The third proportional to 379,933.88 and 822,913.88 is: 1,782,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,933.88 : 822,913.88 = 822,913.88 : x
  2. Step 2: Convert to fraction form
    379,933.88/822,913.88 = 822,913.88/x
  3. Step 3: Cross multiply
    379,933.88x = 822,913.88 × 822,913.88
  4. Step 4: Simplify right side
    379,933.88x = 677,187,245,667.52
  5. Step 5: Solve for x
    x = 677,187,245,667.52/379,933.88
  6. Step 6: Final answer
    x = 1,782,381.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.