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Finding the Third Proportional to 39,408 and 57,576

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Solution

The third proportional to 39,408 and 57,576 is: 84,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,408 : 57,576 = 57,576 : x
  2. Step 2: Convert to fraction form
    39,408/57,576 = 57,576/x
  3. Step 3: Cross multiply
    39,408x = 57,576 × 57,576
  4. Step 4: Simplify right side
    39,408x = 3,314,995,776
  5. Step 5: Solve for x
    x = 3,314,995,776/39,408
  6. Step 6: Final answer
    x = 84,119.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.