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Finding the Third Proportional to 79,821 and 106,511

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Solution

The third proportional to 79,821 and 106,511 is: 142,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,821 : 106,511 = 106,511 : x
  2. Step 2: Convert to fraction form
    79,821/106,511 = 106,511/x
  3. Step 3: Cross multiply
    79,821x = 106,511 × 106,511
  4. Step 4: Simplify right side
    79,821x = 11,344,593,121
  5. Step 5: Solve for x
    x = 11,344,593,121/79,821
  6. Step 6: Final answer
    x = 142,125.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.