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Finding the Third Proportional to 10,846.41 and 23,614.03

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Solution

The third proportional to 10,846.41 and 23,614.03 is: 51,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.41 : 23,614.03 = 23,614.03 : x
  2. Step 2: Convert to fraction form
    10,846.41/23,614.03 = 23,614.03/x
  3. Step 3: Cross multiply
    10,846.41x = 23,614.03 × 23,614.03
  4. Step 4: Simplify right side
    10,846.41x = 557,622,471.88
  5. Step 5: Solve for x
    x = 557,622,471.88/10,846.41
  6. Step 6: Final answer
    x = 51,410.80

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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.