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Finding the Third Proportional to 269,721 and 405,273

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Solution

The third proportional to 269,721 and 405,273 is: 608,948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,721 : 405,273 = 405,273 : x
  2. Step 2: Convert to fraction form
    269,721/405,273 = 405,273/x
  3. Step 3: Cross multiply
    269,721x = 405,273 × 405,273
  4. Step 4: Simplify right side
    269,721x = 164,246,204,529
  5. Step 5: Solve for x
    x = 164,246,204,529/269,721
  6. Step 6: Final answer
    x = 608,948.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.