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Finding the Third Proportional to 205,514 and 322,469

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Solution

The third proportional to 205,514 and 322,469 is: 505,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,514 : 322,469 = 322,469 : x
  2. Step 2: Convert to fraction form
    205,514/322,469 = 322,469/x
  3. Step 3: Cross multiply
    205,514x = 322,469 × 322,469
  4. Step 4: Simplify right side
    205,514x = 103,986,255,961
  5. Step 5: Solve for x
    x = 103,986,255,961/205,514
  6. Step 6: Final answer
    x = 505,981.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.