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Finding the Third Proportional to 135,797 and 298,666

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Solution

The third proportional to 135,797 and 298,666 is: 656,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,797 : 298,666 = 298,666 : x
  2. Step 2: Convert to fraction form
    135,797/298,666 = 298,666/x
  3. Step 3: Cross multiply
    135,797x = 298,666 × 298,666
  4. Step 4: Simplify right side
    135,797x = 89,201,379,556
  5. Step 5: Solve for x
    x = 89,201,379,556/135,797
  6. Step 6: Final answer
    x = 656,872.98

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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.