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Finding the Third Proportional to 65,742 and 106,809

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Solution

The third proportional to 65,742 and 106,809 is: 173,529.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,742 : 106,809 = 106,809 : x
  2. Step 2: Convert to fraction form
    65,742/106,809 = 106,809/x
  3. Step 3: Cross multiply
    65,742x = 106,809 × 106,809
  4. Step 4: Simplify right side
    65,742x = 11,408,162,481
  5. Step 5: Solve for x
    x = 11,408,162,481/65,742
  6. Step 6: Final answer
    x = 173,529.29

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.