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Finding the Third Proportional to 135,806 and 298,684

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Solution

The third proportional to 135,806 and 298,684 is: 656,908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,806 : 298,684 = 298,684 : x
  2. Step 2: Convert to fraction form
    135,806/298,684 = 298,684/x
  3. Step 3: Cross multiply
    135,806x = 298,684 × 298,684
  4. Step 4: Simplify right side
    135,806x = 89,212,131,856
  5. Step 5: Solve for x
    x = 89,212,131,856/135,806
  6. Step 6: Final answer
    x = 656,908.62

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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.