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Finding the Third Proportional to 202,917 and 321,296

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Solution

The third proportional to 202,917 and 321,296 is: 508,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,917 : 321,296 = 321,296 : x
  2. Step 2: Convert to fraction form
    202,917/321,296 = 321,296/x
  3. Step 3: Cross multiply
    202,917x = 321,296 × 321,296
  4. Step 4: Simplify right side
    202,917x = 103,231,119,616
  5. Step 5: Solve for x
    x = 103,231,119,616/202,917
  6. Step 6: Final answer
    x = 508,735.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.