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Finding the Third Proportional to 39,838 and 86,922

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Solution

The third proportional to 39,838 and 86,922 is: 189,653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,838 : 86,922 = 86,922 : x
  2. Step 2: Convert to fraction form
    39,838/86,922 = 86,922/x
  3. Step 3: Cross multiply
    39,838x = 86,922 × 86,922
  4. Step 4: Simplify right side
    39,838x = 7,555,434,084
  5. Step 5: Solve for x
    x = 7,555,434,084/39,838
  6. Step 6: Final answer
    x = 189,653.95

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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.