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Finding the Third Proportional to 39,708 and 78,408

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Solution

The third proportional to 39,708 and 78,408 is: 154,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,708 : 78,408 = 78,408 : x
  2. Step 2: Convert to fraction form
    39,708/78,408 = 78,408/x
  3. Step 3: Cross multiply
    39,708x = 78,408 × 78,408
  4. Step 4: Simplify right side
    39,708x = 6,147,814,464
  5. Step 5: Solve for x
    x = 6,147,814,464/39,708
  6. Step 6: Final answer
    x = 154,825.59

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.