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Finding the Third Proportional to 22,861.13 and 33,400.13

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Solution

The third proportional to 22,861.13 and 33,400.13 is: 48,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,861.13 : 33,400.13 = 33,400.13 : x
  2. Step 2: Convert to fraction form
    22,861.13/33,400.13 = 33,400.13/x
  3. Step 3: Cross multiply
    22,861.13x = 33,400.13 × 33,400.13
  4. Step 4: Simplify right side
    22,861.13x = 1,115,568,350.02
  5. Step 5: Solve for x
    x = 1,115,568,350.02/22,861.13
  6. Step 6: Final answer
    x = 48,797.61

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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.