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Finding the Third Proportional to 4,448.13 and 10,296.31

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Solution

The third proportional to 4,448.13 and 10,296.31 is: 23,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448.13 : 10,296.31 = 10,296.31 : x
  2. Step 2: Convert to fraction form
    4,448.13/10,296.31 = 10,296.31/x
  3. Step 3: Cross multiply
    4,448.13x = 10,296.31 × 10,296.31
  4. Step 4: Simplify right side
    4,448.13x = 106,014,051.10
  5. Step 5: Solve for x
    x = 106,014,051.10/4,448.13
  6. Step 6: Final answer
    x = 23,833.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.