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Finding the Third Proportional to 135,022 and 209,610

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Solution

The third proportional to 135,022 and 209,610 is: 325,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,022 : 209,610 = 209,610 : x
  2. Step 2: Convert to fraction form
    135,022/209,610 = 209,610/x
  3. Step 3: Cross multiply
    135,022x = 209,610 × 209,610
  4. Step 4: Simplify right side
    135,022x = 43,936,352,100
  5. Step 5: Solve for x
    x = 43,936,352,100/135,022
  6. Step 6: Final answer
    x = 325,401.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.