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Finding the Third Proportional to 205,449 and 288,469

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Solution

The third proportional to 205,449 and 288,469 is: 405,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,449 : 288,469 = 288,469 : x
  2. Step 2: Convert to fraction form
    205,449/288,469 = 288,469/x
  3. Step 3: Cross multiply
    205,449x = 288,469 × 288,469
  4. Step 4: Simplify right side
    205,449x = 83,214,363,961
  5. Step 5: Solve for x
    x = 83,214,363,961/205,449
  6. Step 6: Final answer
    x = 405,036.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.