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Finding the Third Proportional to 201,409 and 443,311

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Solution

The third proportional to 201,409 and 443,311 is: 975,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,409 : 443,311 = 443,311 : x
  2. Step 2: Convert to fraction form
    201,409/443,311 = 443,311/x
  3. Step 3: Cross multiply
    201,409x = 443,311 × 443,311
  4. Step 4: Simplify right side
    201,409x = 196,524,642,721
  5. Step 5: Solve for x
    x = 196,524,642,721/201,409
  6. Step 6: Final answer
    x = 975,749.06

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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.