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Finding the Third Proportional to 381,404 and 838,980

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Solution

The third proportional to 381,404 and 838,980 is: 1,845,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,404 : 838,980 = 838,980 : x
  2. Step 2: Convert to fraction form
    381,404/838,980 = 838,980/x
  3. Step 3: Cross multiply
    381,404x = 838,980 × 838,980
  4. Step 4: Simplify right side
    381,404x = 703,887,440,400
  5. Step 5: Solve for x
    x = 703,887,440,400/381,404
  6. Step 6: Final answer
    x = 1,845,516.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.