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Finding the Third Proportional to 10,732.36 and 23,311.97

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Solution

The third proportional to 10,732.36 and 23,311.97 is: 50,636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.36 : 23,311.97 = 23,311.97 : x
  2. Step 2: Convert to fraction form
    10,732.36/23,311.97 = 23,311.97/x
  3. Step 3: Cross multiply
    10,732.36x = 23,311.97 × 23,311.97
  4. Step 4: Simplify right side
    10,732.36x = 543,447,887.00
  5. Step 5: Solve for x
    x = 543,447,887.00/10,732.36
  6. Step 6: Final answer
    x = 50,636.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.