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Finding the Third Proportional to 10,576.78 and 23,050.78

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Solution

The third proportional to 10,576.78 and 23,050.78 is: 50,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.78 : 23,050.78 = 23,050.78 : x
  2. Step 2: Convert to fraction form
    10,576.78/23,050.78 = 23,050.78/x
  3. Step 3: Cross multiply
    10,576.78x = 23,050.78 × 23,050.78
  4. Step 4: Simplify right side
    10,576.78x = 531,338,516.24
  5. Step 5: Solve for x
    x = 531,338,516.24/10,576.78
  6. Step 6: Final answer
    x = 50,236.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.