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Finding the Third Proportional to 379,800 and 817,200

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Solution

The third proportional to 379,800 and 817,200 is: 1,758,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,800 : 817,200 = 817,200 : x
  2. Step 2: Convert to fraction form
    379,800/817,200 = 817,200/x
  3. Step 3: Cross multiply
    379,800x = 817,200 × 817,200
  4. Step 4: Simplify right side
    379,800x = 667,815,840,000
  5. Step 5: Solve for x
    x = 667,815,840,000/379,800
  6. Step 6: Final answer
    x = 1,758,335.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.