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Finding the Third Proportional to 10,494 and 23,318

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Solution

The third proportional to 10,494 and 23,318 is: 51,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494 : 23,318 = 23,318 : x
  2. Step 2: Convert to fraction form
    10,494/23,318 = 23,318/x
  3. Step 3: Cross multiply
    10,494x = 23,318 × 23,318
  4. Step 4: Simplify right side
    10,494x = 543,729,124
  5. Step 5: Solve for x
    x = 543,729,124/10,494
  6. Step 6: Final answer
    x = 51,813.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.