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Finding the Third Proportional to 80,928 and 177,408

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Solution

The third proportional to 80,928 and 177,408 is: 388,908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,928 : 177,408 = 177,408 : x
  2. Step 2: Convert to fraction form
    80,928/177,408 = 177,408/x
  3. Step 3: Cross multiply
    80,928x = 177,408 × 177,408
  4. Step 4: Simplify right side
    80,928x = 31,473,598,464
  5. Step 5: Solve for x
    x = 31,473,598,464/80,928
  6. Step 6: Final answer
    x = 388,908.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.