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Finding the Third Proportional to 210,992 and 331,680

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Solution

The third proportional to 210,992 and 331,680 is: 521,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,992 : 331,680 = 331,680 : x
  2. Step 2: Convert to fraction form
    210,992/331,680 = 331,680/x
  3. Step 3: Cross multiply
    210,992x = 331,680 × 331,680
  4. Step 4: Simplify right side
    210,992x = 110,011,622,400
  5. Step 5: Solve for x
    x = 110,011,622,400/210,992
  6. Step 6: Final answer
    x = 521,401.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.