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Finding the Third Proportional to 37,960 and 81,728

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Solution

The third proportional to 37,960 and 81,728 is: 175,960.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,960 : 81,728 = 81,728 : x
  2. Step 2: Convert to fraction form
    37,960/81,728 = 81,728/x
  3. Step 3: Cross multiply
    37,960x = 81,728 × 81,728
  4. Step 4: Simplify right side
    37,960x = 6,679,465,984
  5. Step 5: Solve for x
    x = 6,679,465,984/37,960
  6. Step 6: Final answer
    x = 175,960.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.