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Finding the Third Proportional to 207,987 and 443,622

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Solution

The third proportional to 207,987 and 443,622 is: 946,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,987 : 443,622 = 443,622 : x
  2. Step 2: Convert to fraction form
    207,987/443,622 = 443,622/x
  3. Step 3: Cross multiply
    207,987x = 443,622 × 443,622
  4. Step 4: Simplify right side
    207,987x = 196,800,478,884
  5. Step 5: Solve for x
    x = 196,800,478,884/207,987
  6. Step 6: Final answer
    x = 946,215.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.