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Finding the Third Proportional to 39,177 and 76,410

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Solution

The third proportional to 39,177 and 76,410 is: 149,028.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,177 : 76,410 = 76,410 : x
  2. Step 2: Convert to fraction form
    39,177/76,410 = 76,410/x
  3. Step 3: Cross multiply
    39,177x = 76,410 × 76,410
  4. Step 4: Simplify right side
    39,177x = 5,838,488,100
  5. Step 5: Solve for x
    x = 5,838,488,100/39,177
  6. Step 6: Final answer
    x = 149,028.46

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.