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Finding the Third Proportional to 135,837 and 298,566

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Solution

The third proportional to 135,837 and 298,566 is: 656,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,837 : 298,566 = 298,566 : x
  2. Step 2: Convert to fraction form
    135,837/298,566 = 298,566/x
  3. Step 3: Cross multiply
    135,837x = 298,566 × 298,566
  4. Step 4: Simplify right side
    135,837x = 89,141,656,356
  5. Step 5: Solve for x
    x = 89,141,656,356/135,837
  6. Step 6: Final answer
    x = 656,239.88

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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.