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Finding the Third Proportional to 39,145 and 52,439

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Solution

The third proportional to 39,145 and 52,439 is: 70,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,145 : 52,439 = 52,439 : x
  2. Step 2: Convert to fraction form
    39,145/52,439 = 52,439/x
  3. Step 3: Cross multiply
    39,145x = 52,439 × 52,439
  4. Step 4: Simplify right side
    39,145x = 2,749,848,721
  5. Step 5: Solve for x
    x = 2,749,848,721/39,145
  6. Step 6: Final answer
    x = 70,247.76

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.