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Finding the Third Proportional to 135,976 and 290,636

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Solution

The third proportional to 135,976 and 290,636 is: 621,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,976 : 290,636 = 290,636 : x
  2. Step 2: Convert to fraction form
    135,976/290,636 = 290,636/x
  3. Step 3: Cross multiply
    135,976x = 290,636 × 290,636
  4. Step 4: Simplify right side
    135,976x = 84,469,284,496
  5. Step 5: Solve for x
    x = 84,469,284,496/135,976
  6. Step 6: Final answer
    x = 621,207.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.