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Finding the Third Proportional to 135,783 and 298,449

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Solution

The third proportional to 135,783 and 298,449 is: 655,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,783 : 298,449 = 298,449 : x
  2. Step 2: Convert to fraction form
    135,783/298,449 = 298,449/x
  3. Step 3: Cross multiply
    135,783x = 298,449 × 298,449
  4. Step 4: Simplify right side
    135,783x = 89,071,805,601
  5. Step 5: Solve for x
    x = 89,071,805,601/135,783
  6. Step 6: Final answer
    x = 655,986.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.