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Finding the Third Proportional to 10,963.48 and 23,846.27

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Solution

The third proportional to 10,963.48 and 23,846.27 is: 51,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.48 : 23,846.27 = 23,846.27 : x
  2. Step 2: Convert to fraction form
    10,963.48/23,846.27 = 23,846.27/x
  3. Step 3: Cross multiply
    10,963.48x = 23,846.27 × 23,846.27
  4. Step 4: Simplify right side
    10,963.48x = 568,644,756.86
  5. Step 5: Solve for x
    x = 568,644,756.86/10,963.48
  6. Step 6: Final answer
    x = 51,867.19

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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.