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Finding the Third Proportional to 68,339 and 143,589

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Solution

The third proportional to 68,339 and 143,589 is: 301,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,339 : 143,589 = 143,589 : x
  2. Step 2: Convert to fraction form
    68,339/143,589 = 143,589/x
  3. Step 3: Cross multiply
    68,339x = 143,589 × 143,589
  4. Step 4: Simplify right side
    68,339x = 20,617,800,921
  5. Step 5: Solve for x
    x = 20,617,800,921/68,339
  6. Step 6: Final answer
    x = 301,698.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.