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Finding the Third Proportional to 39,967 and 53,320

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Solution

The third proportional to 39,967 and 53,320 is: 71,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,967 : 53,320 = 53,320 : x
  2. Step 2: Convert to fraction form
    39,967/53,320 = 53,320/x
  3. Step 3: Cross multiply
    39,967x = 53,320 × 53,320
  4. Step 4: Simplify right side
    39,967x = 2,843,022,400
  5. Step 5: Solve for x
    x = 2,843,022,400/39,967
  6. Step 6: Final answer
    x = 71,134.25

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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.