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Finding the Third Proportional to 135,675 and 298,417

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Solution

The third proportional to 135,675 and 298,417 is: 656,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,675 : 298,417 = 298,417 : x
  2. Step 2: Convert to fraction form
    135,675/298,417 = 298,417/x
  3. Step 3: Cross multiply
    135,675x = 298,417 × 298,417
  4. Step 4: Simplify right side
    135,675x = 89,052,705,889
  5. Step 5: Solve for x
    x = 89,052,705,889/135,675
  6. Step 6: Final answer
    x = 656,367.83

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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.