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Finding the Third Proportional to 135,692 and 298,308

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Solution

The third proportional to 135,692 and 298,308 is: 655,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,692 : 298,308 = 298,308 : x
  2. Step 2: Convert to fraction form
    135,692/298,308 = 298,308/x
  3. Step 3: Cross multiply
    135,692x = 298,308 × 298,308
  4. Step 4: Simplify right side
    135,692x = 88,987,662,864
  5. Step 5: Solve for x
    x = 88,987,662,864/135,692
  6. Step 6: Final answer
    x = 655,806.26

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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.