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Finding the Third Proportional to 65,749 and 106,821

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Solution

The third proportional to 65,749 and 106,821 is: 173,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,749 : 106,821 = 106,821 : x
  2. Step 2: Convert to fraction form
    65,749/106,821 = 106,821/x
  3. Step 3: Cross multiply
    65,749x = 106,821 × 106,821
  4. Step 4: Simplify right side
    65,749x = 11,410,726,041
  5. Step 5: Solve for x
    x = 11,410,726,041/65,749
  6. Step 6: Final answer
    x = 173,549.80

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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.