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Finding the Third Proportional to 131,383 and 282,449

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Solution

The third proportional to 131,383 and 282,449 is: 607,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,383 : 282,449 = 282,449 : x
  2. Step 2: Convert to fraction form
    131,383/282,449 = 282,449/x
  3. Step 3: Cross multiply
    131,383x = 282,449 × 282,449
  4. Step 4: Simplify right side
    131,383x = 79,777,437,601
  5. Step 5: Solve for x
    x = 79,777,437,601/131,383
  6. Step 6: Final answer
    x = 607,212.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.