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Finding the Third Proportional to 37,928 and 81,670

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Solution

The third proportional to 37,928 and 81,670 is: 175,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,928 : 81,670 = 81,670 : x
  2. Step 2: Convert to fraction form
    37,928/81,670 = 81,670/x
  3. Step 3: Cross multiply
    37,928x = 81,670 × 81,670
  4. Step 4: Simplify right side
    37,928x = 6,669,988,900
  5. Step 5: Solve for x
    x = 6,669,988,900/37,928
  6. Step 6: Final answer
    x = 175,859.23

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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.