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Finding the Third Proportional to 392,424 and 820,380

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Solution

The third proportional to 392,424 and 820,380 is: 1,715,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,424 : 820,380 = 820,380 : x
  2. Step 2: Convert to fraction form
    392,424/820,380 = 820,380/x
  3. Step 3: Cross multiply
    392,424x = 820,380 × 820,380
  4. Step 4: Simplify right side
    392,424x = 673,023,344,400
  5. Step 5: Solve for x
    x = 673,023,344,400/392,424
  6. Step 6: Final answer
    x = 1,715,041.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.