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Finding the Third Proportional to 39,826 and 86,780

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Solution

The third proportional to 39,826 and 86,780 is: 189,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,826 : 86,780 = 86,780 : x
  2. Step 2: Convert to fraction form
    39,826/86,780 = 86,780/x
  3. Step 3: Cross multiply
    39,826x = 86,780 × 86,780
  4. Step 4: Simplify right side
    39,826x = 7,530,768,400
  5. Step 5: Solve for x
    x = 7,530,768,400/39,826
  6. Step 6: Final answer
    x = 189,091.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.