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Finding the Third Proportional to 297,009 and 393,838

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Solution

The third proportional to 297,009 and 393,838 is: 522,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,009 : 393,838 = 393,838 : x
  2. Step 2: Convert to fraction form
    297,009/393,838 = 393,838/x
  3. Step 3: Cross multiply
    297,009x = 393,838 × 393,838
  4. Step 4: Simplify right side
    297,009x = 155,108,370,244
  5. Step 5: Solve for x
    x = 155,108,370,244/297,009
  6. Step 6: Final answer
    x = 522,234.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.