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Finding the Third Proportional to 10,812 and 23,394

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Solution

The third proportional to 10,812 and 23,394 is: 50,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812 : 23,394 = 23,394 : x
  2. Step 2: Convert to fraction form
    10,812/23,394 = 23,394/x
  3. Step 3: Cross multiply
    10,812x = 23,394 × 23,394
  4. Step 4: Simplify right side
    10,812x = 547,279,236
  5. Step 5: Solve for x
    x = 547,279,236/10,812
  6. Step 6: Final answer
    x = 50,617.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.