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Finding the Third Proportional to 39,982 and 53,338

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Solution

The third proportional to 39,982 and 53,338 is: 71,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,982 : 53,338 = 53,338 : x
  2. Step 2: Convert to fraction form
    39,982/53,338 = 53,338/x
  3. Step 3: Cross multiply
    39,982x = 53,338 × 53,338
  4. Step 4: Simplify right side
    39,982x = 2,844,942,244
  5. Step 5: Solve for x
    x = 2,844,942,244/39,982
  6. Step 6: Final answer
    x = 71,155.58

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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.