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Finding the Third Proportional to 381,696 and 815,880

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Solution

The third proportional to 381,696 and 815,880 is: 1,743,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,696 : 815,880 = 815,880 : x
  2. Step 2: Convert to fraction form
    381,696/815,880 = 815,880/x
  3. Step 3: Cross multiply
    381,696x = 815,880 × 815,880
  4. Step 4: Simplify right side
    381,696x = 665,660,174,400
  5. Step 5: Solve for x
    x = 665,660,174,400/381,696
  6. Step 6: Final answer
    x = 1,743,953.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.