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Finding the Third Proportional to 210,069 and 301,981

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Solution

The third proportional to 210,069 and 301,981 is: 434,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,069 : 301,981 = 301,981 : x
  2. Step 2: Convert to fraction form
    210,069/301,981 = 301,981/x
  3. Step 3: Cross multiply
    210,069x = 301,981 × 301,981
  4. Step 4: Simplify right side
    210,069x = 91,192,524,361
  5. Step 5: Solve for x
    x = 91,192,524,361/210,069
  6. Step 6: Final answer
    x = 434,107.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.