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Finding the Third Proportional to 213,469 and 321,611

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Solution

The third proportional to 213,469 and 321,611 is: 484,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,469 : 321,611 = 321,611 : x
  2. Step 2: Convert to fraction form
    213,469/321,611 = 321,611/x
  3. Step 3: Cross multiply
    213,469x = 321,611 × 321,611
  4. Step 4: Simplify right side
    213,469x = 103,433,635,321
  5. Step 5: Solve for x
    x = 103,433,635,321/213,469
  6. Step 6: Final answer
    x = 484,537.03

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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.