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Finding the Third Proportional to 361,200 and 852,720

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Solution

The third proportional to 361,200 and 852,720 is: 2,013,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,200 : 852,720 = 852,720 : x
  2. Step 2: Convert to fraction form
    361,200/852,720 = 852,720/x
  3. Step 3: Cross multiply
    361,200x = 852,720 × 852,720
  4. Step 4: Simplify right side
    361,200x = 727,131,398,400
  5. Step 5: Solve for x
    x = 727,131,398,400/361,200
  6. Step 6: Final answer
    x = 2,013,099.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.