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Finding the Third Proportional to 22,744.13 and 33,112.13

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Solution

The third proportional to 22,744.13 and 33,112.13 is: 48,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744.13 : 33,112.13 = 33,112.13 : x
  2. Step 2: Convert to fraction form
    22,744.13/33,112.13 = 33,112.13/x
  3. Step 3: Cross multiply
    22,744.13x = 33,112.13 × 33,112.13
  4. Step 4: Simplify right side
    22,744.13x = 1,096,412,822.02
  5. Step 5: Solve for x
    x = 1,096,412,822.02/22,744.13
  6. Step 6: Final answer
    x = 48,206.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.