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Finding the Third Proportional to 37,782 and 81,378

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Solution

The third proportional to 37,782 and 81,378 is: 175,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782 : 81,378 = 81,378 : x
  2. Step 2: Convert to fraction form
    37,782/81,378 = 81,378/x
  3. Step 3: Cross multiply
    37,782x = 81,378 × 81,378
  4. Step 4: Simplify right side
    37,782x = 6,622,378,884
  5. Step 5: Solve for x
    x = 6,622,378,884/37,782
  6. Step 6: Final answer
    x = 175,278.67

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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.