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Finding the Third Proportional to 11,043 and 22,722.75

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Solution

The third proportional to 11,043 and 22,722.75 is: 46,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,043 : 22,722.75 = 22,722.75 : x
  2. Step 2: Convert to fraction form
    11,043/22,722.75 = 22,722.75/x
  3. Step 3: Cross multiply
    11,043x = 22,722.75 × 22,722.75
  4. Step 4: Simplify right side
    11,043x = 516,323,367.56
  5. Step 5: Solve for x
    x = 516,323,367.56/11,043
  6. Step 6: Final answer
    x = 46,755.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.