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Finding the Third Proportional to 37,832 and 82,306

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Solution

The third proportional to 37,832 and 82,306 is: 179,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,832 : 82,306 = 82,306 : x
  2. Step 2: Convert to fraction form
    37,832/82,306 = 82,306/x
  3. Step 3: Cross multiply
    37,832x = 82,306 × 82,306
  4. Step 4: Simplify right side
    37,832x = 6,774,277,636
  5. Step 5: Solve for x
    x = 6,774,277,636/37,832
  6. Step 6: Final answer
    x = 179,062.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.