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Finding the Third Proportional to 210,834 and 445,200

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Solution

The third proportional to 210,834 and 445,200 is: 940,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,834 : 445,200 = 445,200 : x
  2. Step 2: Convert to fraction form
    210,834/445,200 = 445,200/x
  3. Step 3: Cross multiply
    210,834x = 445,200 × 445,200
  4. Step 4: Simplify right side
    210,834x = 198,203,040,000
  5. Step 5: Solve for x
    x = 198,203,040,000/210,834
  6. Step 6: Final answer
    x = 940,090.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.