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Finding the Third Proportional to 215,801 and 326,698

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Solution

The third proportional to 215,801 and 326,698 is: 494,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,801 : 326,698 = 326,698 : x
  2. Step 2: Convert to fraction form
    215,801/326,698 = 326,698/x
  3. Step 3: Cross multiply
    215,801x = 326,698 × 326,698
  4. Step 4: Simplify right side
    215,801x = 106,731,583,204
  5. Step 5: Solve for x
    x = 106,731,583,204/215,801
  6. Step 6: Final answer
    x = 494,583.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.