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Finding the Third Proportional to 39,462 and 57,120

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Solution

The third proportional to 39,462 and 57,120 is: 82,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,462 : 57,120 = 57,120 : x
  2. Step 2: Convert to fraction form
    39,462/57,120 = 57,120/x
  3. Step 3: Cross multiply
    39,462x = 57,120 × 57,120
  4. Step 4: Simplify right side
    39,462x = 3,262,694,400
  5. Step 5: Solve for x
    x = 3,262,694,400/39,462
  6. Step 6: Final answer
    x = 82,679.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.