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Finding the Third Proportional to 39,478 and 57,143

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Solution

The third proportional to 39,478 and 57,143 is: 82,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,478 : 57,143 = 57,143 : x
  2. Step 2: Convert to fraction form
    39,478/57,143 = 57,143/x
  3. Step 3: Cross multiply
    39,478x = 57,143 × 57,143
  4. Step 4: Simplify right side
    39,478x = 3,265,322,449
  5. Step 5: Solve for x
    x = 3,265,322,449/39,478
  6. Step 6: Final answer
    x = 82,712.46

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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.