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Finding the Third Proportional to 135,852 and 298,600

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Solution

The third proportional to 135,852 and 298,600 is: 656,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,852 : 298,600 = 298,600 : x
  2. Step 2: Convert to fraction form
    135,852/298,600 = 298,600/x
  3. Step 3: Cross multiply
    135,852x = 298,600 × 298,600
  4. Step 4: Simplify right side
    135,852x = 89,161,960,000
  5. Step 5: Solve for x
    x = 89,161,960,000/135,852
  6. Step 6: Final answer
    x = 656,316.87

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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.